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인기 문제

순위	주제	문제	형식화된 문제
78901	Solve the Differential Equation	y''''=x x 의 자연로그	$y'' = x \ln (x)$
78902	Solve the Differential Equation	(dx)/(dt)=x^2+1/9	$\frac{d x}{d t} = x^{2} + \frac{1}{9}$
78903	Solve the Differential Equation	y''''=xe^(-x)+y	$y'' = x e^{- x} + y$
78904	Solve the Differential Equation	(dy)/(dx)=12sin(x)^2cos(x) , y(0)=3	$\frac{d y}{d x} = 12 \sin^{2} (x) \cos (x)$ , $y (0) = 3$
78905	Solve the Differential Equation	f(x)=(4x^2-5x+2)^3	$f (x) = {(4 x^{2} - 5 x + 2)}^{3}$
78906	Solve the Differential Equation	(a^2-2xy-y^2)dx-(x+y)^2dy=0	$(a^{2} - 2 x y - y^{2}) d x - {(x + y)}^{2} d y = 0$
78907	Solve the Differential Equation	2xdy-y(x+1)dx+6y^3dx=0	$2 x d y - y (x + 1) d x + 6 y^{3} d x = 0$
78908	Solve the Differential Equation	(dy)/(dt)-ty=sin(t)^2	$\frac{d y}{d t} - t y = \sin^{2} (t)$
78909	Solve the Differential Equation	Solve the first order linear differential equation (dy)/(dx)+3x^2y=6	Solve the first order linear differential equation $\frac{d y}{d x} + 3 x^{2} y = 6$
78910	Solve the Differential Equation	y''''''''-64y=0	$y'''' - 64 y = 0$
78911	Solve the Differential Equation	(x+y)*y''''-y=0	$(x + y) \cdot y'' - y = 0$
78912	Solve the Differential Equation	(dy)/(dx)=9/(1+x) , y(0)=7	$\frac{d y}{d x} = \frac{9}{1 + x}$ , $y (0) = 7$
78913	Solve the Differential Equation	y''''=2x 1-y^2 의 제곱근	$y'' = 2 x \sqrt{1 - y^{2}}$
78914	Solve the Differential Equation	(dy)/(dx)+6ycos(3x)=cos(3x)	$\frac{d y}{d x} + 6 y \cos (3 x) = \cos (3 x)$
78915	Solve the Differential Equation	y''''''''+y''''-2y=8sin(x)	$y'''' + y'' - 2 y = 8 \sin (x)$
78916	Solve the Differential Equation	(dy)/(dt)=y^2(1+t)	$\frac{d y}{d t} = y^{2} (1 + t)$
78917	Solve the Differential Equation	(dy)/(dx)=4x^(1/6)	$\frac{d y}{d x} = 4 x^{\frac{1}{6}}$
78918	Solve the Differential Equation	(dy)/(dx)=x^5 , y(0)=1	$\frac{d y}{d x} = x^{5}$ , $y (0) = 1$
78919	Solve the Differential Equation	2(5)(12)+2(12)(dy)/(dt)=0	$2 (5) (12) + 2 (12) \frac{d y}{d t} = 0$
78920	Solve the Differential Equation	(ds)/(dt)=20t(5t^2-3)^3 , s(1)=7	$\frac{d s}{d t} = 20 t {(5 t^{2} - 3)}^{3}$ , $s (1) = 7$
78921	Solve the Differential Equation	dy+1/4(yd)x=32dx	$d y + \frac{1}{4} yd x = 32 d x$
78922	Solve the Differential Equation	xy''''-y=6x x 의 자연로그	$x y'' - y = 6 x \ln (x)$
78923	Solve the Differential Equation	(3+x^2)y''''-2xy=0	$(3 + x^{2}) y'' - 2 x y = 0$
78924	Solve the Differential Equation	(x^2+1)(dy)/(dx)+y^2+1=0	$(x^{2} + 1) \frac{d y}{d x} + y^{2} + 1 = 0$
78925	Solve the Differential Equation	5y''''+y''''=-6x	$5 y'' + y'' = - 6 x$
78926	Solve the Differential Equation	(dy)/(dt)-2x+2y=0	$\frac{d y}{d t} - 2 x + 2 y = 0$
78927	Solve the Differential Equation	y''''=(-2x-4)/(2y+8)	$y'' = \frac{- 2 x - 4}{2 y + 8}$
78928	Solve the Differential Equation	(dy)/(dx)=24/(x^3)	$\frac{d y}{d x} = \frac{24}{x^{3}}$
78929	Solve the Differential Equation	(dy)/(dx)=-1/(12 x) , y(4)=0 의 제곱근	$\frac{d y}{d x} = - \frac{1}{12 \sqrt{x}}$ , $y (4) = 0$
78930	Solve the Differential Equation	(dy)/(dx)+y=x^2	$\frac{d y}{d x} + y = x^{2}$
78931	Solve the Differential Equation	(dy)/(dx)=4x^2+5x-2	$\frac{d y}{d x} = 4 x^{2} + 5 x - 2$
78932	Solve the Differential Equation	y''''=y^2-3y	$y'' = y^{2} - 3 y$
78933	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(3x+5)	$x^{2} \frac{d w}{d x} = \sqrt{w} (3 x + 5)$
78934	Solve the Differential Equation	(dN)/(dt)=600+900 t 의 제곱근	$\frac{d N}{d t} = 600 + 900 \sqrt{t}$
78935	Solve the Differential Equation	(x^2+16)(dy)/(dx)+xy=0	$(x^{2} + 16) \frac{d y}{d x} + x y = 0$
78936	Solve the Differential Equation	x^9+16y(dy)/(dx)=0	$x^{9} + 16 y \frac{d y}{d x} = 0$
78937	Solve the Differential Equation	(dy)/(dx)=4x^2y-8xy	$\frac{d y}{d x} = 4 x^{2} y - 8 x y$
78938	Solve the Differential Equation	(dy)/(dx)=-4e^(x-8) , y(8)=8	$\frac{d y}{d x} = - 4 e^{x - 8}$ , $y (8) = 8$
78939	Solve the Differential Equation	y''''''''-3y''''+2y=4	$y'''' - 3 y'' + 2 y = 4$
78940	Solve the Differential Equation	x(1+y^2)dx=ydy	$x (1 + y^{2}) d x = yd y$
78941	Solve the Differential Equation	y''''''''-7y''''=6e^(6x)	$y'''' - 7 y'' = 6 e^{6 x}$
78942	Solve the Differential Equation	y(x-2y)dx-x^2dy=0	$y (x - 2 y) d x - x^{2} d y = 0$
78943	Solve the Differential Equation	(dy)/(dx)+5y=7x^2	$\frac{d y}{d x} + 5 y = 7 x^{2}$
78944	Solve the Differential Equation	(dv)/(dt)=6/(t t^2-1) 의 제곱근	$\frac{d v}{d t} = \frac{6}{t \sqrt{t^{2} - 1}}$
78945	Solve the Differential Equation	(dy)/(dx)+y=3e^(2x)	$\frac{d y}{d x} + y = 3 e^{2 x}$
78946	Solve the Differential Equation	(dP)/(dt)=1/10P-1/5000P^2	$\frac{d P}{d t} = \frac{1}{10} P - \frac{1}{5000} P^{2}$
78947	Solve the Differential Equation	(y+4)dx+xdy=0	$(y + 4) d x + x d y = 0$
78948	Solve the Differential Equation	(dy)/(dx)=1/(9 x) , y(16)=0 의 제곱근	$\frac{d y}{d x} = \frac{1}{9 \sqrt{x}}$ , $y (16) = 0$
78949	Solve the Differential Equation	(y'''')^2+y^2+4=0	${(y'')}^{2} + y^{2} + 4 = 0$
78950	Solve the Differential Equation	f(x)=x^3(x+5)	$f (x) = x^{3} (x + 5)$
78951	Solve the Differential Equation	xy''''=y+x^2	$x y'' = y + x^{2}$
78952	Solve the Differential Equation	(dy)/(dx)=4x^(2/7)	$\frac{d y}{d x} = 4 x^{\frac{2}{7}}$
78953	Solve the Differential Equation	x(yd)x-(x^2+y^2)dy=0	$x yd x - (x^{2} + y^{2}) d y = 0$
78954	Solve the Differential Equation	(2xy+x^2)dx+(x^2+y^2)dy=0	$(2 x y + x^{2}) d x + (x^{2} + y^{2}) d y = 0$
78955	Solve the Differential Equation	(d^2y)/(dx^2)+a_1(x)(dy)/(dx)+a_0(x)y(x)=0	$\frac{d^{2} y}{d x^{2}} + a_{1} (x) \frac{d y}{d x} + a_{0} (x) y (x) = 0$
78956	Solve the Differential Equation	(dy)/(dt)=(3t^2)/y , y(2)=0	$\frac{d y}{d t} = \frac{3 t^{2}}{y}$ , $y (2) = 0$
78957	Verify the Differential Equation Solution	(dy)/(dx)=(-x)/y , y(3)=4	$\frac{d y}{d x} = \frac{- x}{y}$ , $y (3) = 4$
78958	Solve the Differential Equation	xy''''+y''''=2x	$x y'' + y'' = 2 x$
78959	Solve the Differential Equation	(dy)/(dx)=y^3-x	$\frac{d y}{d x} = y^{3} - x$
78960	Solve the Differential Equation	(d^2y)/(dx^2)+3(dy)/(dx)-4y=cos(x)	$\frac{d^{2} y}{d x^{2}} + 3 \frac{d y}{d x} - 4 y = \cos (x)$
78961	Solve the Differential Equation	y''''-9y=(9x)/(e^(3x))	$y'' - 9 y = \frac{9 x}{e^{3 x}}$
78962	Solve the Differential Equation	(ds)/(dt)=12t(2t^2-1)^3	$\frac{d s}{d t} = 12 t {(2 t^{2} - 1)}^{3}$
78963	Solve the Differential Equation	(dy)/(dx)=91/(e^y)cos(x)	$\frac{d y}{d x} = 9 \cdot \frac{1}{e^{y}} \cdot \cos (x)$
78964	Solve the Differential Equation	y''''''''''''-2y''''''''+y''''-2y=0	$y'''''' - 2 y'''' + y'' - 2 y = 0$
78965	Solve the Differential Equation	(dt)/(dt)=-6y , y(0)=4	$\frac{d t}{d t} = - 6 y$ , $y (0) = 4$
78966	Solve the Differential Equation	4y''''+4y''''+17y=0	$4 y'' + 4 y'' + 17 y = 0$
78967	Solve the Differential Equation	(dy)/(dx)=5x-y	$\frac{d y}{d x} = 5 x - y$
78968	Solve the Differential Equation	h(x)=1/( x) 의 제곱근	$h (x) = \frac{1}{\sqrt{x}}$
78969	Solve the Differential Equation	(dP)/(dt)=k p 의 세제곱근	$\frac{d P}{d t} = k \sqrt[3]{p}$
78970	Solve the Differential Equation	(1+e^x)(yd)y=e^xdx	$(1 + e^{x}) yd y = e^{x} d x$
78971	Solve the Differential Equation	3.8y-xy''''=0	$3.8 y - x y'' = 0$
78972	Solve the Differential Equation	y(dy)/(dx)=x^2-7x	$y \frac{d y}{d x} = x^{2} - 7 x$
78973	Solve the Differential Equation	(dy)/(dx)=(10x^9)/(4y)	$\frac{d y}{d x} = \frac{10 x^{9}}{4 y}$
78974	Solve the Differential Equation	2x(1-x)y''''''''+(1-x)y''''+3y=0	$2 x (1 - x) y'''' + (1 - x) y'' + 3 y = 0$
78975	Solve the Differential Equation	(dy)/(dx)=cos(x)csc(y)	$\frac{d y}{d x} = \cos (x) \csc (y)$
78976	Solve the Differential Equation	(2x+2y+2)dx+(2x-2y^2+6)dy=0	$(2 x + 2 y + 2) d x + (2 x - 2 y^{2} + 6) d y = 0$
78977	Solve the Differential Equation	2(5)(0.5)+2(12)(dy)/(dt)=0	$2 (5) (0.5) + 2 (12) \frac{d y}{d t} = 0$
78978	Solve the Differential Equation	(dx)/(dy)=2y+x+3	$\frac{d x}{d y} = 2 y + x + 3$
78979	Solve the Differential Equation	-(yd)x+xdy=0	$- yd x + x d y = 0$
78980	Solve the Differential Equation	F(x)=4/5x^15	$F (x) = \frac{4}{5} x^{15}$
78981	Solve the Differential Equation	(dy)/(dx)-yx=x , y(0)=0	$\frac{d y}{d x} - y x = x$ , $y (0) = 0$
78982	Solve the Differential Equation	((dy)/(dx)+1)=xe^(x+y)	$(\frac{d y}{d x} + 1) = x e^{x + y}$
78983	Solve the Differential Equation	(x^2y^2)dx+(x^2-xy)dy=0	$(x^{2} y^{2}) d x + (x^{2} - x y) d y = 0$
78984	Solve the Differential Equation	(dy)/(dx)=y , y(0)=1	$\frac{d y}{d x} = y$ , $y (0) = 1$
78985	Solve the Differential Equation	(d^2y)/(dx^2)+3(dy)/(dx)+7y=0	$\frac{d^{2} y}{d x^{2}} + 3 \frac{d y}{d x} + 7 y = 0$
78986	Solve the Differential Equation	(dy)/(dt)=t/(y^2)	$\frac{d y}{d t} = \frac{t}{y^{2}}$
78987	Solve the Differential Equation	(x+y+1)dx+(2x+2y+3)dy=0	$(x + y + 1) d x + (2 x + 2 y + 3) d y = 0$
78988	Solve the Differential Equation	(1+x^2)(dy)/(dx)-2xy=0	$(1 + x^{2}) \frac{d y}{d x} - 2 x y = 0$
78989	Solve the Differential Equation	(dy)/(dx)=(3+y)/(1-2x)	$\frac{d y}{d x} = \frac{3 + y}{1 - 2 x}$
78990	Solve the Differential Equation	(2x^3+xy^2)dx+(2y^3+x^2y)dy=0	$(2 x^{3} + x y^{2}) d x + (2 y^{3} + x^{2} y) d y = 0$
78991	Solve the Differential Equation	(dy)/(dx)=(14xy)/(( y)^10) 의 자연로그	$\frac{d y}{d x} = \frac{14 x y}{\ln^{10} (y)}$
78992	Solve the Differential Equation	y''''''''+10y''''+25y=30x+3	$y'''' + 10 y'' + 25 y = 30 x + 3$
78993	Solve the Differential Equation	y(dy)/(dx)-(1+y)x^2=0	$y \frac{d y}{d x} - (1 + y) x^{2} = 0$
78994	Solve the Differential Equation	(dy)/(dx)=6xy-2x	$\frac{d y}{d x} = 6 x y - 2 x$
78995	Solve the Differential Equation	(dy)/(dx)=5x^3	$\frac{d y}{d x} = 5 x^{3}$
78996	Solve the Differential Equation	y''''-2y''''+y=sin(x)	$y'' - 2 y'' + y = \sin (x)$
78997	Solve the Differential Equation	(dq)/(dt)+q=4cos(2t) , q(0)=1	$\frac{d q}{d t} + q = 4 \cos (2 t)$ , $q (0) = 1$
78998	Solve the Differential Equation	x(f(x)^3)(dy)/(dx) = natural log of x	$x (f {(x)}^{3}) \frac{d y}{d x} = \ln (x)$
78999	Solve the Differential Equation	y''''+2y''''+y=x^2-25sin(2x)	$y'' + 2 y'' + y = x^{2} - 25 \sin (2 x)$
79000	Verify the Differential Equation Solution	(dy)/(dx)=xe^y , y(0)=0	$\frac{d y}{d x} = x e^{y}$ , $y (0) = 0$