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인기 문제

순위	주제	문제	형식화된 문제
77201	Solve the Differential Equation	f(x)=x^2-2	$f (x) = x^{2} - 2$
77202	Solve the Differential Equation	(dy)/(dx)+y/x=xsin(x)	$\frac{d y}{d x} + \frac{y}{x} = x \sin (x)$
77203	Solve the Differential Equation	4y''''''''+9y=0	$4 y'''' + 9 y = 0$
77204	Solve the Differential Equation	(dx)/(dt)+x=x^4sin(t)	$\frac{d x}{d t} + x = x^{4} \sin (t)$
77205	Solve the Differential Equation	(dy)/(dx)=sin(x) , y(0)=7	$\frac{d y}{d x} = \sin (x)$ , $y (0) = 7$
77206	Solve the Differential Equation	(dy)/(dx)=y^3+3	$\frac{d y}{d x} = y^{3} + 3$
77207	Solve the Differential Equation	(dy)/(dx)=4x+5	$\frac{d y}{d x} = 4 x + 5$
77208	Solve the Differential Equation	y(dy)/(dx)=xe^(-y^2)	$y \frac{d y}{d x} = x e^{- y^{2}}$
77209	Solve the Differential Equation	(dy)/(dx)=(5x)/(2y)	$\frac{d y}{d x} = \frac{5 x}{2 y}$
77210	Solve the Differential Equation	xy''''=4x-y	$x y'' = 4 x - y$
77211	Solve the Differential Equation	x^2+10y(dy)/(dx)=0	$x^{2} + 10 y \frac{d y}{d x} = 0$
77212	Solve the Differential Equation	(dy)/(dx)=(xy)/(x+4)	$\frac{d y}{d x} = \frac{x y}{x + 4}$
77213	Solve the Differential Equation	(dy)/(dx)=7x^(5/8)	$\frac{d y}{d x} = 7 x^{\frac{5}{8}}$
77214	Solve the Differential Equation	(dy)/(dx)=(y+1)^2e^(-3x) with y(0)=2	$\frac{d y}{d x} = {(y + 1)}^{2} e^{- 3 x}$ with $y (0) = 2$
77215	Solve the Differential Equation	xy''''+y=3x y 의 제곱근	$x y'' + y = 3 x \sqrt{y}$
77216	Solve the Differential Equation	2x(x-3y)dy=-y(8x-9y)dx	$2 x (x - 3 y) d y = - y (8 x - 9 y) d x$
77217	Solve the Differential Equation	(dy)/(dx)+(1/x)y=xy^2	$\frac{d y}{d x} + (\frac{1}{x}) y = x y^{2}$
77218	Solve the Differential Equation	y''''+4y=32	$y'' + 4 y = 32$
77219	Solve the Differential Equation	(dy)/(dx)=(18y^3)/((1-3x)^2)	$\frac{d y}{d x} = \frac{18 y^{3}}{{(1 - 3 x)}^{2}}$
77220	Solve the Differential Equation	y''''=-1/(x^2)	$y'' = - \frac{1}{x^{2}}$
77221	Solve the Differential Equation	xy''''-2y=x^3	$x y'' - 2 y = x^{3}$
77222	Solve the Differential Equation	xdy-(yd)x=(x^2+y^2)dx	$x d y - yd x = (x^{2} + y^{2}) d x$
77223	Solve the Differential Equation	y''''=xy+4y+3x+12	$y'' = x y + 4 y + 3 x + 12$
77224	Solve the Differential Equation	y''''-xy''''=e^(-x)	$y'' - x y'' = e^{- x}$
77225	Solve the Differential Equation	xdy+(y-x+xysin(x))dx=0	$x d y + (y - x + x y \sin (x)) d x = 0$
77226	Solve the Differential Equation	y''''=3(15-y)	$y'' = 3 (15 - y)$
77227	Solve the Differential Equation	f(x)=e^(12x)	$f (x) = e^{12 x}$
77228	Solve the Differential Equation	y''''=xe^(3x)-2y	$y'' = x e^{3 x} - 2 y$
77229	Solve the Differential Equation	y''''+y/x=y^2x	$y'' + \frac{y}{x} = y^{2} x$
77230	Solve the Differential Equation	dy-2xdx=0	$d y - 2 x d x = 0$
77231	Solve the Differential Equation	(dy)/(dx)=10x-9	$\frac{d y}{d x} = 10 x - 9$
77232	Solve the Differential Equation	(xy^2+x-2y+3)dx+(x^2y-2x-2y)dy=0	$(x y^{2} + x - 2 y + 3) d x + (x^{2} y - 2 x - 2 y) d y = 0$
77233	Solve the Differential Equation	(1+x^2)dy-x(yd)x=0	$(1 + x^{2}) d y - x yd x = 0$
77234	Solve the Differential Equation	1/(cos(y)^2)dx-(6x+1)dy=0	$\frac{1}{\cos^{2} (y)} d x - (6 x + 1) d y = 0$
77235	Solve the Differential Equation	(dy)/(dx)-y/x=x*e^x	$\frac{d y}{d x} - \frac{y}{x} = x \cdot e^{x}$
77236	Solve the Differential Equation	(1-x^2)(1-y)dx=xy(1+y)dy	$(1 - x^{2}) (1 - y) d x = x y (1 + y) d y$
77237	Solve the Differential Equation	y''''(x)=xy^2	$y'' (x) = x y^{2}$
77238	Solve the Differential Equation	f(x)=5x^5-3x^2-x-1	$f (x) = 5 x^{5} - 3 x^{2} - x - 1$
77239	Solve the Differential Equation	(dx)/(dt)=(2x)/t	$\frac{d x}{d t} = \frac{2 x}{t}$
77240	Solve the Differential Equation	(3x+2y+4)dx+(3x+2y-3)dy=0	$(3 x + 2 y + 4) d x + (3 x + 2 y - 3) d y = 0$
77241	Solve the Differential Equation	(dy)/(4dx)+(3y)/x=x^2	$\frac{d y}{4 d x} + \frac{3 y}{x} = x^{2}$
77242	Solve the Differential Equation	(dy)/(dx)=8x^2y-3xy	$\frac{d y}{d x} = 8 x^{2} y - 3 x y$
77243	Solve the Differential Equation	(dy)/(dx)-(x^2-2y)/x=0	$\frac{d y}{d x} - \frac{x^{2} - 2 y}{x} = 0$
77244	Solve the Differential Equation	(2y-2xy^3+4x+6)dx+(2x-3y^2y^2-1)dy=0	$(2 y - 2 x y^{3} + 4 x + 6) d x + (2 x - 3 y^{2} y^{2} - 1) d y = 0$
77245	Solve the Differential Equation	x^4+16y(dy)/(dx)=0	$x^{4} + 16 y \frac{d y}{d x} = 0$
77246	Solve the Differential Equation	(dy)/(dx)+2xy=y+4x-2	$\frac{d y}{d x} + 2 x y = y + 4 x - 2$
77247	Solve the Differential Equation	(2xy)dx+(x^2+1)dy=0	$(2 x y) d x + (x^{2} + 1) d y = 0$
77248	Solve the Differential Equation	t^5y^4-t^3y''''''''+6y=0	$t^{5} y^{4} - t^{3} y'''' + 6 y = 0$
77249	Solve the Differential Equation	x+2y x^2+1(dy)/(dx)=0 의 제곱근	$x + 2 y \sqrt{x^{2} + 1} \frac{d y}{d x} = 0$
77250	Solve the Differential Equation	(x-2y+5)dx-(2(x-2y)+9)dy=0	$(x - 2 y + 5) d x - (2 (x - 2 y) + 9) d y = 0$
77251	Solve the Differential Equation	(dy)/(dx)+tan(x)y=sec(x)	$\frac{d y}{d x} + \tan (x) y = \sec (x)$
77252	Solve the Differential Equation	(1+x^2)dy=ydx	$(1 + x^{2}) d y = yd x$
77253	Solve the Differential Equation	(dy)/(dx)=y^4-x^4	$\frac{d y}{d x} = y^{4} - x^{4}$
77254	Solve the Differential Equation	6y^2dx=9x(yd)y	$6 y^{2} d x = 9 x yd y$
77255	Solve the Differential Equation	(x^2+33)y''''=xy	$(x^{2} + 33) y'' = x y$
77256	Solve the Differential Equation	(xdy)/(dx)+y=1	$\frac{x d y}{d x} + y = 1$
77257	Solve the Differential Equation	(dy)/(dx)=2sin(3x+4)	$\frac{d y}{d x} = 2 \sin (3 x + 4)$
77258	Solve the Differential Equation	(dy)/(dx)=(e^x+3)^2	$\frac{d y}{d x} = {(e^{x} + 3)}^{2}$
77259	Solve the Differential Equation	y''''+2y=3e^t with y(0)=3	$y'' + 2 y = 3 e^{t}$ with $y (0) = 3$
77260	Solve the Differential Equation	dy=2xdx	$d y = 2 x d x$
77261	Solve the Differential Equation	(dy)/(dx)=24-y	$\frac{d y}{d x} = 24 - y$
77262	Solve the Differential Equation	yy''''=1	$y y'' = 1$
77263	Solve the Differential Equation	y''''=6xy^2	$y'' = 6 x y^{2}$
77264	Solve the Differential Equation	y''''''''+3y''''+2y=cos(2x)	$y'''' + 3 y'' + 2 y = \cos (2 x)$
77265	Solve the Differential Equation	(dy)/(dt)=-0.16y	$\frac{d y}{d t} = - 0.16 y$
77266	Solve the Differential Equation	(dy)/(dx)=(3x)(y)	$\frac{d y}{d x} = (3 x) (y)$
77267	Solve the Differential Equation	(d^2y)/(dt^2)-0.5t+y=0	$\frac{d^{2} y}{d t^{2}} - 0.5 t + y = 0$
77268	Solve the Differential Equation	(dv)/(dt)=9/(1+t^2)+sec(t)^2 , v(0)=4	$\frac{d v}{d t} = \frac{9}{1 + t^{2}} + \sec^{2} (t)$ , $v (0) = 4$
77269	Solve the Differential Equation	7y''''''''+1.3y''''+2=0	$7 y'''' + 1.3 y'' + 2 = 0$
77270	Solve the Differential Equation	y''''''''+4y=tan(2x)	$y'''' + 4 y = \tan (2 x)$
77271	Solve the Differential Equation	y^4+6y''''''''+9y=0	$y^{4} + 6 y'''' + 9 y = 0$
77272	Solve the Differential Equation	(dy)/(dx)=16-y	$\frac{d y}{d x} = 16 - y$
77273	Solve the Differential Equation	x^2(dy)/(dx)-xy=y^2	$x^{2} \frac{d y}{d x} - x y = y^{2}$
77274	Solve the Differential Equation	2(x+y)dx+(y-x)dy=0	$2 (x + y) d x + (y - x) d y = 0$
77275	Solve the Differential Equation	(dy)/(dx)=x^3-yx^3	$\frac{d y}{d x} = x^{3} - y x^{3}$
77276	Solve the Differential Equation	(dy)/(dt)=4e^(4t)sin(e^(4t)-16) , y( 2)=0 의 자연로그	$\frac{d y}{d t} = 4 e^{4 t} \sin (e^{4 t} - 16)$ , $y (\ln (2)) = 0$
77277	Solve the Differential Equation	(dy)/(dx)=(10x^9)/(20y)	$\frac{d y}{d x} = \frac{10 x^{9}}{20 y}$
77278	Solve the Differential Equation	(dy)/(dt)=(y^2+1)/(t+1)	$\frac{d y}{d t} = \frac{y^{2} + 1}{t + 1}$
77279	Solve the Differential Equation	(x^2-y^2+x)dx+x(2x-1)dy=0	$(x^{2} - y^{2} + x) d x + x (2 x - 1) d y = 0$
77280	Solve the Differential Equation	(dy)/(dx)=(4x^2)/( 1+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{4 x^{2}}{\sqrt{1 + x^{3}}}$
77281	Solve the Differential Equation	(dy)/(dx)=(2x+sec(x)tan(x))/(2y) , y(0)=-3	$\frac{d y}{d x} = \frac{2 x + \sec (x) \tan (x)}{2 y}$ , $y (0) = - 3$
77282	Solve the Differential Equation	(dy)/(dx)=(y+5)/x	$\frac{d y}{d x} = \frac{y + 5}{x}$
77283	Solve the Differential Equation	(2x+y)dx+(x+1/y)dy=0	$(2 x + y) d x + (x + \frac{1}{y}) d y = 0$
77284	Solve the Differential Equation	(dy)/(dx)=1/x and y(e)=-2	$\frac{d y}{d x} = \frac{1}{x}$ and $y (e) = - 2$
77285	Solve the Differential Equation	(dx)/(dy)=e^(x-y)	$\frac{d x}{d y} = e^{x - y}$
77286	Solve the Differential Equation	xdy+3(yd)x=dx	$x d y + 3 yd x = d x$
77287	Solve the Differential Equation	cos(t)y''''+sin(t)y=1	$\cos (t) y'' + \sin (t) y = 1$
77288	Solve the Differential Equation	(y+3xy^3)dx-(1-xy)dy=0	$(y + 3 x y^{3}) d x - (1 - x y) d y = 0$
77289	Solve the Differential Equation	(dy)/(dx)=x^2-3x^2y	$\frac{d y}{d x} = x^{2} - 3 x^{2} y$
77290	Solve the Differential Equation	y''''+2x(y^2)=0	$y'' + 2 x (y^{2}) = 0$
77291	Solve the Differential Equation	y''''=6-y	$y'' = 6 - y$
77292	Solve the Differential Equation	(du)/(dt)=e^(4u+7t)	$\frac{d u}{d t} = e^{4 u + 7 t}$
77293	Verify the Differential Equation Solution	y=Asin(5x)+Bcos(5x) , (d^2y)/(dx^2)+25y=0	$y = A \sin (5 x) + B \cos (5 x)$ , $\frac{d^{2} y}{d x^{2}} + 25 y = 0$
77294	Solve the Differential Equation	(du)/(dt)=8+8u+t+tu	$\frac{d u}{d t} = 8 + 8 u + t + t u$
77295	Solve the Differential Equation	(d^2y)/(dx^2)=x^2	$\frac{d^{2} y}{d x^{2}} = x^{2}$
77296	Solve the Differential Equation	(dy)/(dx)=(11x^2)/( 2+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{11 x^{2}}{\sqrt{2 + x^{3}}}$
77297	Solve the Differential Equation	(dB)/(dt)=0.04B	$\frac{d B}{d t} = 0.04 B$
77298	Solve the Differential Equation	(dy)/(dx)+50y=0	$\frac{d y}{d x} + 50 y = 0$
77299	Solve the Differential Equation	(dy)/(dt)=y-2	$\frac{d y}{d t} = y - 2$
77300	Solve the Differential Equation	x''''+16x=2sin(4t)	$x'' + 16 x = 2 \sin (4 t)$