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인기 문제

순위	주제	문제	형식화된 문제
76001	Solve the Differential Equation	(dy)/(dx) = square root of 2x+y-2	$\frac{d y}{d x} = \sqrt{2 x + y} - 2$
76002	Solve the Differential Equation	(dy)/(dx)=1+xy	$\frac{d y}{d x} = 1 + x y$
76003	Solve the Differential Equation	xy''''+y''''=y^3	$x y'' + y'' = y^{3}$
76004	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(5x+2)	$x^{2} \frac{d w}{d x} = \sqrt{w} (5 x + 2)$
76005	Solve the Differential Equation	x*y''''=y	$x \cdot y'' = y$
76006	Solve the Differential Equation	(dy)/(dx)=x-y+2	$\frac{d y}{d x} = x - y + 2$
76007	Solve the Differential Equation	(1+x)y''''+y = square root of x	$(1 + x) y'' + y = \sqrt{x}$
76008	Solve the Differential Equation	(dy)/(dx)=x-3y	$\frac{d y}{d x} = x - 3 y$
76009	Solve the Differential Equation	5x-4y x^2+1(dy)/(dx)=0 의 제곱근	$5 x - 4 y \sqrt{x^{2} + 1} \frac{d y}{d x} = 0$
76010	Solve the Differential Equation	(dy)/(dx)=-9x^8e^(-x^9) , y(0)=2	$\frac{d y}{d x} = - 9 x^{8} e^{- x^{9}}$ , $y (0) = 2$
76011	Solve the Differential Equation	y''''''''-4y''''+29y=0	$y'''' - 4 y'' + 29 y = 0$
76012	Solve the Differential Equation	y''''''''+y=7sin(x)	$y'''' + y = 7 \sin (x)$
76013	Solve the Differential Equation	(dy)/(dx)=(6y^2)/( x) 의 제곱근	$\frac{d y}{d x} = \frac{6 y^{2}}{\sqrt{x}}$
76014	Solve the Differential Equation	(dy)/(dx)=2xy^2+3x^2y^2	$\frac{d y}{d x} = 2 x y^{2} + 3 x^{2} y^{2}$
76015	Solve the Differential Equation	(dy)/(dx)=5x^4	$\frac{d y}{d x} = 5 x^{4}$
76016	Solve the Differential Equation	(dy)/(dx)=x^2y^3 , f(1)=-1	$\frac{d y}{d x} = x^{2} y^{3}$ , $f (1) = - 1$
76017	Solve the Differential Equation	(dy)/(dx)=(x^2+1)/(xy^2)	$\frac{d y}{d x} = \frac{x^{2} + 1}{x y^{2}}$
76018	Solve the Differential Equation	y''''''''-6y''''+8y=x	$y'''' - 6 y'' + 8 y = x$
76019	Solve the Differential Equation	xy''''+y=8x	$x y'' + y = 8 x$
76020	Solve the Differential Equation	(2x-4y^2)(dy)/(dx)+y=0	$(2 x - 4 y^{2}) \frac{d y}{d x} + y = 0$
76021	Solve the Differential Equation	(dy)/(dx)-y=sinh(x)	$\frac{d y}{d x} - y = \sinh (x)$
76022	Solve the Differential Equation	(dy)/(dx)=(x-1)/(y^3)	$\frac{d y}{d x} = \frac{x - 1}{y^{3}}$
76023	Solve the Differential Equation	(dy)/(dx)=(36-12x^2)/( x^3-9x+5) 의 제곱근	$\frac{d y}{d x} = \frac{36 - 12 x^{2}}{\sqrt{x^{3} - 9 x + 5}}$
76024	Solve the Differential Equation	x(1+y^2)dx+y(1+x^2)dy=0	$x (1 + y^{2}) d x + y (1 + x^{2}) d y = 0$
76025	Solve the Differential Equation	(dy)/(dx)+(sin(x))y=e^(cos(x))	$\frac{d y}{d x} + (\sin (x)) y = e^{\cos (x)}$
76026	Solve the Differential Equation	y''''+(1/3)y=x^2	$y'' + (\frac{1}{3}) y = x^{2}$
76027	Solve the Differential Equation	x^2dy+(y^2-xy)dx=0	$x^{2} d y + (y^{2} - x y) d x = 0$
76028	Solve the Differential Equation	(x+y+1)dx+(2x+2y+1)dy=0	$(x + y + 1) d x + (2 x + 2 y + 1) d y = 0$
76029	Solve the Differential Equation	y''''+y=t	$y'' + y = t$
76030	Solve the Differential Equation	2y''''-4y''''=0	$2 y'' - 4 y'' = 0$
76031	Solve the Differential Equation	(dy)/(dx)=sin(x) , y(0)=13	$\frac{d y}{d x} = \sin (x)$ , $y (0) = 13$
76032	Solve the Differential Equation	(dy)/(dx)-2xy=0	$\frac{d y}{d x} - 2 x y = 0$
76033	Solve the Differential Equation	2(dy)/(dx)+y=y^3(x-1)	$2 \frac{d y}{d x} + y = y^{3} (x - 1)$
76034	Solve the Differential Equation	4(yd)x+xdy=0	$4 yd x + x d y = 0$
76035	Solve the Differential Equation	(dy)/(dx)=x^2y^-2	$\frac{d y}{d x} = x^{2} y^{- 2}$
76036	Solve the Differential Equation	(dy)/(dx)=e^x+sin(x)	$\frac{d y}{d x} = e^{x} + \sin (x)$
76037	Solve the Differential Equation	ydy=xydx	$yd y = x yd x$
76038	Solve the Differential Equation	y''''(t)=(5y)/(t^3)	$y'' (t) = \frac{5 y}{t^{3}}$
76039	Solve the Differential Equation	(dy)/(dt)=-y/t-7	$\frac{d y}{d t} = - \frac{y}{t} - 7$
76040	Verify the Differential Equation Solution	(dy)/(dx)=(2x-y)/(x+4y) dengan y(1)=1	$\frac{d y}{d x} = \frac{2 x - y}{x + 4 y}$ dengan $y (1) = 1$
76041	Solve the Differential Equation	y''''-y/x=x^3	$y'' - \frac{y}{x} = x^{3}$
76042	Solve the Differential Equation	f(x) = square root of 6x+2	$f (x) = \sqrt{6 x + 2}$
76043	Solve the Differential Equation	(dy)/(dx)=4 yx 의 제곱근	$\frac{d y}{d x} = 4 \sqrt{y x}$
76044	Solve the Differential Equation	2y''''''''+18y=6tan(3t)	$2 y'''' + 18 y = 6 \tan (3 t)$
76045	Solve the Differential Equation	(dy)/(dx)=-3x^2e^(-x^3)	$\frac{d y}{d x} = - 3 x^{2} e^{- x^{3}}$
76046	Solve the Differential Equation	(2x^2y+1)dx+(4y^3-2kx^3+1)dy=0	$(2 x^{2} y + 1) d x + (4 y^{3} - 2 k x^{3} + 1) d y = 0$
76047	Solve the Differential Equation	(d^2y)/(dt^2)+4y=0	$\frac{d^{2} y}{d t^{2}} + 4 y = 0$
76048	Solve the Differential Equation	(dy)/(dx)=-33x	$\frac{d y}{d x} = - 33 x$
76049	Solve the Differential Equation	x^3+8y(dy)/(dx)=0	$x^{3} + 8 y \frac{d y}{d x} = 0$
76050	Solve the Differential Equation	y''''=4y^-2(x^6+x^4+x^2)	$y'' = 4 y^{- 2} (x^{6} + x^{4} + x^{2})$
76051	Solve the Differential Equation	(2x+3y)dx+(3x+2y)dy=0	$(2 x + 3 y) d x + (3 x + 2 y) d y = 0$
76052	Solve the Differential Equation	y^2(dy)/(dx)=x^2	$y^{2} \frac{d y}{d x} = x^{2}$
76053	Solve the Differential Equation	(x^2+1)dx+1/ydy=0	$(x^{2} + 1) d x + \frac{1}{y} d y = 0$
76054	Solve the Differential Equation	y''''-(2y)/(x+1)=(x+1)^3	$y'' - \frac{2 y}{x + 1} = {(x + 1)}^{3}$
76055	Solve the Differential Equation	xdy=(x+y)dx	$x d y = (x + y) d x$
76056	Solve the Differential Equation	(dy)/(dt)=t+2e^(t-7) ; and , y(7)=4	$\frac{d y}{d t} = t + 2 e^{t - 7}$ ; and , $y (7) = 4$
76057	Solve the Differential Equation	e^(5y)dy=e^(5x)dx	$e^{5 y} d y = e^{5 x} d x$
76058	Solve the Differential Equation	(y^8-y)(dy)/(dx)=x	$(y^{8} - y) \frac{d y}{d x} = x$
76059	Solve the Differential Equation	y''''-2y''''+5=0	$y'' - 2 y'' + 5 = 0$
76060	Solve the Differential Equation	xy''''+y=6x	$x y'' + y = 6 x$
76061	Solve the Differential Equation	(dy)/(dx)=6e^(2x-y)	$\frac{d y}{d x} = 6 e^{2 x - y}$
76062	Solve the Differential Equation	(dy)/(dx)=y^3e^x	$\frac{d y}{d x} = y^{3} e^{x}$
76063	Solve the Differential Equation	(x-2)(dy)/(dx)=y+2(x-2)^3	$(x - 2) \frac{d y}{d x} = y + 2 {(x - 2)}^{3}$
76064	Solve the Differential Equation	y''''x^3=2y	$y'' x^{3} = 2 y$
76065	Solve the Differential Equation	(dy)/(dt) = square root of t , y(1)=1	$\frac{d y}{d t} = \sqrt{t}$ , $y (1) = 1$
76066	Solve the Differential Equation	f(x)=x^8+1/(x^8)	$f (x) = x^{8} + \frac{1}{x^{8}}$
76067	Solve the Differential Equation	xe^(x^2+y)dx=ydy	$x e^{x^{2} + y} d x = yd y$
76068	Solve the Differential Equation	(dy)/(dx)+yx^2=0	$\frac{d y}{d x} + y x^{2} = 0$
76069	Solve the Differential Equation	(dy)/(dx)=10x-9 and y(7)=0	$\frac{d y}{d x} = 10 x - 9$ and $y (7) = 0$
76070	Solve the Differential Equation	(dy)/(dx)=y(xy^2-1)	$\frac{d y}{d x} = y (x y^{2} - 1)$
76071	Solve the Differential Equation	(dy)/(dx)=2y+4	$\frac{d y}{d x} = 2 y + 4$
76072	Solve the Differential Equation	f(x)=x^3+2x-1/x	$f (x) = x^{3} + 2 x - \frac{1}{x}$
76073	Solve the Differential Equation	(dr)/(ds)=0.85r	$\frac{d r}{d s} = 0.85 r$
76074	Solve the Differential Equation	f(x) = log base a of x	$f (x) = \log_{a} (x)$
76075	Solve the Differential Equation	x(dy)/(dx)-y=x^4+x^2	$x \frac{d y}{d x} - y = x^{4} + x^{2}$
76076	Solve the Differential Equation	(ds)/(dt)=36t(9t^2-7)^3 , s(1)=14	$\frac{d s}{d t} = 36 t {(9 t^{2} - 7)}^{3}$ , $s (1) = 14$
76077	Solve the Differential Equation	y(dy)/(dx)-x=2y^2	$y \frac{d y}{d x} - x = 2 y^{2}$
76078	Solve the Differential Equation	(2x^2+e^y)dx+(xe^y-sin(y))dy=0	$(2 x^{2} + e^{y}) d x + (x e^{y} - \sin (y)) d y = 0$
76079	Solve the Differential Equation	(dy)/(dx)-2x x^2+1=0 의 자연로그	$\frac{d y}{d x} - 2 x \ln (x^{2} + 1) = 0$
76080	Solve the Differential Equation	(dy)/(dx)+y/x=sin(x^2)	$\frac{d y}{d x} + \frac{y}{x} = \sin (x^{2})$
76081	Solve the Differential Equation	ydx+(x+y^2)dy=0	$yd x + (x + y^{2}) d y = 0$
76082	Solve the Differential Equation	(du)/(dt)=e^(5u+3t)	$\frac{d u}{d t} = e^{5 u + 3 t}$
76083	Solve the Differential Equation	x^2dy-y^2dx=0	$x^{2} d y - y^{2} d x = 0$
76084	Solve the Differential Equation	x(yd)x+(y^4-3x^2)dy=0	$x yd x + (y^{4} - 3 x^{2}) d y = 0$
76085	Solve the Differential Equation	(dy)/(dx)=2cos(y)^2	$\frac{d y}{d x} = 2 \cos^{2} (y)$
76086	Solve the Differential Equation	(dy)/(dx)=0.8y	$\frac{d y}{d x} = 0.8 y$
76087	Solve the Differential Equation	(dy)/(dx)=(4x^2+3y^2)/(2xy)	$\frac{d y}{d x} = \frac{4 x^{2} + 3 y^{2}}{2 x y}$
76088	Solve the Differential Equation	3y''''''''-4y''''+5y=0	$3 y'''' - 4 y'' + 5 y = 0$
76089	Solve the Differential Equation	y''''=(-x)/y	$y'' = \frac{- x}{y}$
76090	Solve the Differential Equation	3((d^2y)/(dx^2))^3+4((dy)/(dx))^7+9x=0	$3 {(\frac{d^{2} y}{d x^{2}})}^{3} + 4 {(\frac{d y}{d x})}^{7} + 9 x = 0$
76091	Solve the Differential Equation	y''''''''''''''''+y=0	$y'''''''' + y = 0$
76092	Solve the Differential Equation	y''''=e^xe^y	$y'' = e^{x} e^{y}$
76093	Solve the Differential Equation	(dy)/(dx)=ay	$\frac{d y}{d x} = a y$
76094	Solve the Differential Equation	x(dy)/(dx)+y=x^4-3x	$x \frac{d y}{d x} + y = x^{4} - 3 x$
76095	Solve the Differential Equation	(1-y)y''''=y^2	$(1 - y) y'' = y^{2}$
76096	Solve the Differential Equation	(dR)/(dt)=0.07e^(0.2387t)	$\frac{d R}{d t} = 0.07 e^{0.2387 t}$
76097	Solve the Differential Equation	(dy)/(dt)=2-y	$\frac{d y}{d t} = 2 - y$
76098	Solve the Differential Equation	y''''''''+3y''''+2y=3x^2-x+1	$y'''' + 3 y'' + 2 y = 3 x^{2} - x + 1$
76099	Solve the Differential Equation	(dy)/(dx)=(-3xy^2-3x)/(x^2y+2y)	$\frac{d y}{d x} = \frac{- 3 x y^{2} - 3 x}{x^{2} y + 2 y}$
76100	Solve the Differential Equation	y''''''''-49y=0	$y'''' - 49 y = 0$