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인기 문제

순위	주제	문제	형식화된 문제
76301	Solve the Differential Equation	((dy)/(dx))^2=1-y^2	${(\frac{d y}{d x})}^{2} = 1 - y^{2}$
76302	Solve the Differential Equation	(dy)/(dx)+7xy=8x	$\frac{d y}{d x} + 7 x y = 8 x$
76303	Solve the Differential Equation	y''''''''''''''''-y''''''''''''+2y''''=0	$y'''''''' - y'''''' + 2 y'' = 0$
76304	Solve the Differential Equation	y''''=2y+e^x	$y'' = 2 y + e^{x}$
76305	Solve the Differential Equation	(dy)/(dx)+3y=6e^(5x) ; with y(0)=5	$\frac{d y}{d x} + 3 y = 6 e^{5 x}$ ; with $y (0) = 5$
76306	Solve the Differential Equation	xy''''+y=1/(y^2)	$x y'' + y = \frac{1}{y^{2}}$
76307	Solve the Differential Equation	(dy)/(dx)-2xy=4x	$\frac{d y}{d x} - 2 x y = 4 x$
76308	Solve the Differential Equation	(dM)/(dt)=a-k_1M	$\frac{d M}{d t} = a - k_{1} M$
76309	Solve the Differential Equation	ydx-4dy=x^2dy	$yd x - 4 d y = x^{2} d y$
76310	Solve the Differential Equation	(dy)/(dt)+y/t=e^t , y(0)=0	$\frac{d y}{d t} + \frac{y}{t} = e^{t}$ , $y (0) = 0$
76311	Solve the Differential Equation	12(dy)/(sin(x))=y^-2dx	$12 \frac{d y}{\sin (x)} = y^{- 2} d x$
76312	Solve the Differential Equation	(dy)/(dx)=c_1x^2+c_2e^(2x)	$\frac{d y}{d x} = c_{1} x^{2} + c_{2} e^{2 x}$
76313	Solve the Differential Equation	(x^2+y)dx-xdy=0	$(x^{2} + y) d x - x d y = 0$
76314	Solve the Differential Equation	(dy)/(dx)=x/(x^2-1)*(y-1)	$\frac{d y}{d x} = \frac{x}{x^{2} - 1} \cdot (y - 1)$
76315	Solve the Differential Equation	xdy-(x^2y^2+y)dx=0	$x d y - (x^{2} y^{2} + y) d x = 0$
76316	Solve the Differential Equation	y''''=(x-1)^2(x-2)	$y'' = {(x - 1)}^{2} (x - 2)$
76317	Solve the Differential Equation	2yy''''=3x^2	$2 y y'' = 3 x^{2}$
76318	Solve the Differential Equation	x^6+12y(dy)/(dx)=0	$x^{6} + 12 y \frac{d y}{d x} = 0$
76319	Solve the Differential Equation	f(x)=e^8	$f (x) = e^{8}$
76320	Solve the Differential Equation	(dx)/(dy)+1=e^(x+y)	$\frac{d x}{d y} + 1 = e^{x + y}$
76321	Solve the Differential Equation	y''''''''''''=e^(-0.2x)	$y'''''' = e^{- 0.2 x}$
76322	Solve the Differential Equation	(dy)/(dt)=8 y 의 제곱근	$\frac{d y}{d t} = 8 \sqrt{y}$
76323	Solve the Differential Equation	(y/x)(dy)/(dx)=e^(x^2+y^2)	$(\frac{y}{x}) \frac{d y}{d x} = e^{x^{2} + y^{2}}$
76324	Solve the Differential Equation	(dy)/(dt)+2/ty=t	$\frac{d y}{d t} + \frac{2}{t} y = t$
76325	Solve the Differential Equation	e^(-y)y''''=e^x+4x^2	$e^{- y} y'' = e^{x} + 4 x^{2}$
76326	Solve the Differential Equation	y''''-3y+2y=6	$y'' - 3 y + 2 y = 6$
76327	Solve the Differential Equation	ydx+x^3dy=0	$yd x + x^{3} d y = 0$
76328	Solve the Differential Equation	t(dx)/(dt)-x=3	$t \frac{d x}{d t} - x = 3$
76329	Solve the Differential Equation	(dy)/(dx)=(x^2)/(y+1)	$\frac{d y}{d x} = \frac{x^{2}}{y + 1}$
76330	Solve the Differential Equation	f''''(x)=2x	$f'' (x) = 2 x$
76331	Solve the Differential Equation	(dy)/(dx)=y/x+csc(y/x)	$\frac{d y}{d x} = \frac{y}{x} + \csc (\frac{y}{x})$
76332	Solve the Differential Equation	(x^3+2)y=x(y^4+3)y''''	$(x^{3} + 2) y = x (y^{4} + 3) y''$
76333	Solve the Differential Equation	(dy)/(dx)+y/x = square root of y	$\frac{d y}{d x} + \frac{y}{x} = \sqrt{y}$
76334	Solve the Differential Equation	(dy)/(dx)=xy^2+2xy	$\frac{d y}{d x} = x y^{2} + 2 x y$
76335	Solve the Differential Equation	(dy)/(dx)=2x^(3/8)	$\frac{d y}{d x} = 2 x^{\frac{3}{8}}$
76336	Solve the Differential Equation	(dy)/(dx)=y/(x^5)	$\frac{d y}{d x} = \frac{y}{x^{5}}$
76337	Solve the Differential Equation	(dy)/(dx)=(x+y-5)^2	$\frac{d y}{d x} = {(x + y - 5)}^{2}$
76338	Solve the Differential Equation	(dy)/(dx)=7x^(3/4)	$\frac{d y}{d x} = 7 x^{\frac{3}{4}}$
76339	Solve the Differential Equation	(dy)/(dx)+2x^2y=0	$\frac{d y}{d x} + 2 x^{2} y = 0$
76340	Solve the Differential Equation	(dy)/(dx)+ycos(x)=7cos(x)	$\frac{d y}{d x} + y \cos (x) = 7 \cos (x)$
76341	Solve the Differential Equation	(3x^2y^3-5)dx+(3x^3y^2+2)dy=0	$(3 x^{2} y^{3} - 5) d x + (3 x^{3} y^{2} + 2) d y = 0$
76342	Solve the Differential Equation	xy^2y''''=x+4	$x y^{2} y'' = x + 4$
76343	Solve the Differential Equation	(y'''')/(6x^2+2x)=1/y	$\frac{y''}{6 x^{2} + 2 x} = \frac{1}{y}$
76344	Solve the Differential Equation	(x^2+4xy+2y^2)dy+x(yd)x=0	$(x^{2} + 4 x y + 2 y^{2}) d y + x yd x = 0$
76345	Solve the Differential Equation	(xy^2+bx^2y)dx+(x+y)x^2dy=0	$(x y^{2} + b x^{2} y) d x + (x + y) x^{2} d y = 0$
76346	Solve the Differential Equation	12yy''''-5e^x=0	$12 y y'' - 5 e^{x} = 0$
76347	Solve the Differential Equation	(y x)^-1(dy)/(dx)=(x/(y+1))^2 의 자연로그	${(y \ln (x))}^{- 1} \frac{d y}{d x} = {(\frac{x}{y + 1})}^{2}$
76348	Solve the Differential Equation	x^2y''''''''-2xy''''+2y=0	$x^{2} y'''' - 2 x y'' + 2 y = 0$
76349	Solve the Differential Equation	(dy)/(dx)+4y=3	$\frac{d y}{d x} + 4 y = 3$
76350	Solve the Differential Equation	f(x)=\|x^2-4\|	$f (x) = \| x^{2} - 4 \|$
76351	Solve the Differential Equation	( 1+x^2)/(1+y)(dy)/(dx)=-x 의 제곱근	$\frac{\sqrt{1 + x^{2}}}{1 + y} \cdot \frac{d y}{d x} = - x$
76352	Solve the Differential Equation	y''''''''-4y=xe^(2x)	$y'''' - 4 y = x e^{2 x}$
76353	Solve the Differential Equation	(dy)/(dx)=9+1/x , y(1)=13	$\frac{d y}{d x} = 9 + \frac{1}{x}$ , $y (1) = 13$
76354	Solve the Differential Equation	(-2y)/(t^3)dt+1/(t^2)dy=0	$\frac{- 2 y}{t^{3}} d t + \frac{1}{t^{2}} d y = 0$
76355	Solve the Differential Equation	(dP)/(dt)=kP(1-P/K)	$\frac{d P}{d t} = k P (1 - \frac{P}{K})$
76356	Solve the Differential Equation	(dy)/(dx)=(5y+4)/(-9x+8)	$\frac{d y}{d x} = \frac{5 y + 4}{- 9 x + 8}$
76357	Solve the Differential Equation	y''''''''-y+1=0	$y'''' - y + 1 = 0$
76358	Solve the Differential Equation	sin(x)cos(ydx)^2+cos(xdy)^2=0	$\sin (x) \cos^{2} (yd x) + \cos^{2} (x d y) = 0$
76359	Solve the Differential Equation	sin(x)sin(ydx)-cos(x)cos(ydy)=0	$\sin (x) \sin (yd x) - \cos (x) \cos (yd y) = 0$
76360	Solve the Differential Equation	(du)/(dr)=(6+ 제곱근 r)/(3+ 제곱근 u)	$\frac{d u}{d r} = \frac{6 + \sqrt{r}}{3 + \sqrt{u}}$
76361	Solve the Differential Equation	(x^3+3xy^2)dx+(y^3+3x^2y)dy=0	$(x^{3} + 3 x y^{2}) d x + (y^{3} + 3 x^{2} y) d y = 0$
76362	Solve the Differential Equation	(dv)/(dt)+2v=32	$\frac{d v}{d t} + 2 v = 32$
76363	Solve the Differential Equation	cari (dy)/(dx) jika 4xy-3y=1	cari $\frac{d y}{d x}$ jika $4 x y - 3 y = 1$
76364	Solve the Differential Equation	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
76365	Solve the Differential Equation	y''''x+xy''''(x)=2	$y'' x + x y'' (x) = 2$
76366	Solve the Differential Equation	y''''-xy''''+y=0	$y'' - x y'' + y = 0$
76367	Solve the Differential Equation	(dy)/(dx)=(4x)/(7y)	$\frac{d y}{d x} = \frac{4 x}{7 y}$
76368	Solve the Differential Equation	(2xy+e^y+cos(x))dx+(x^2+xe^y-sin(y))dy=0	$(2 x y + e^{y} + \cos (x)) d x + (x^{2} + x e^{y} - \sin (y)) d y = 0$
76369	Solve the Differential Equation	f(x)=x+4/x	$f (x) = x + \frac{4}{x}$
76370	Solve the Differential Equation	x^7+16y(dy)/(dx)=0	$x^{7} + 16 y \frac{d y}{d x} = 0$
76371	Solve the Differential Equation	(ds)/(dt)=12t(3t^2-1)^3 , s(1)=11	$\frac{d s}{d t} = 12 t {(3 t^{2} - 1)}^{3}$ , $s (1) = 11$
76372	Solve the Differential Equation	(ds)/(dt)=28t(7t^2-5)^3 , s(1)=10	$\frac{d s}{d t} = 28 t {(7 t^{2} - 5)}^{3}$ , $s (1) = 10$
76373	Solve the Differential Equation	(dy)/(dx)=e^(2y)*sin(x)	$\frac{d y}{d x} = e^{2 y} \cdot \sin (x)$
76374	Solve the Differential Equation	yy''''+2=0	$y y'' + 2 = 0$
76375	Solve the Differential Equation	y''''''''-y=e^(-x)	$y'''' - y = e^{- x}$
76376	Solve the Differential Equation	(dy)/(x-3)=(dx)/(y^2+2y)	$\frac{d y}{x - 3} = \frac{d x}{y^{2} + 2 y}$
76377	Solve the Differential Equation	(x+2)y''''-xy=0	$(x + 2) y'' - x y = 0$
76378	Solve the Differential Equation	y^2(dy)/(dt)=sin(2t)	$y^{2} \frac{d y}{d t} = \sin (2 t)$
76379	Solve the Differential Equation	y''''=4x-2y	$y'' = 4 x - 2 y$
76380	Solve the Differential Equation	(2xy-e^(2y))dx+(x^2+xe^(2y)-y)dy=0	$(2 x y - e^{2 y}) d x + (x^{2} + x e^{2 y} - y) d y = 0$
76381	Solve the Differential Equation	f(x)=13/( x) 의 제곱근	$f (x) = \frac{13}{\sqrt{x}}$
76382	Solve the Differential Equation	(dI)/(dy)+10/(2t+5)I=10	$\frac{d I}{d y} + \frac{10}{2 t + 5} I = 10$
76383	Solve the Differential Equation	(2xy+y^3)dx+(x^2+3xy^2-2y)dy=0	$(2 x y + y^{3}) d x + (x^{2} + 3 x y^{2} - 2 y) d y = 0$
76384	Solve the Differential Equation	(dy)/(dx)+5y=e^x	$\frac{d y}{d x} + 5 y = e^{x}$
76385	Solve the Differential Equation	(du)/(dt)=e^(3u+5t)	$\frac{d u}{d t} = e^{3 u + 5 t}$
76386	Solve the Differential Equation	y''''(t)+2y=11	$y'' (t) + 2 y = 11$
76387	Solve the Differential Equation	x^2(dy)/(dx)=x^2+xy+y^2	$x^{2} \frac{d y}{d x} = x^{2} + x y + y^{2}$
76388	Solve the Differential Equation	y''''+2y''''=0	$y'' + 2 y'' = 0$
76389	Solve the Differential Equation	(dy)/(dt)=2e^(2t)sin(e^(2t)-36) , y( 6)=0 의 자연로그	$\frac{d y}{d t} = 2 e^{2 t} \sin (e^{2 t} - 36)$ , $y (\ln (6)) = 0$
76390	Solve the Differential Equation	(dy)/(dx)=e^(5x+6y)	$\frac{d y}{d x} = e^{5 x + 6 y}$
76391	Solve the Differential Equation	(dy)/(dx)=(4sin(x))/x	$\frac{d y}{d x} = \frac{4 \sin (x)}{x}$
76392	Solve the Differential Equation	(dT)/(dx)=21x^6 , T(0)=8	$\frac{d T}{d x} = 21 x^{6}$ , $T (0) = 8$
76393	Solve the Differential Equation	(dy)/(dx)-5x=xy	$\frac{d y}{d x} - 5 x = x y$
76394	Solve the Differential Equation	g(x)=(x^2)/(x-11)	$g (x) = \frac{x^{2}}{x - 11}$
76395	Solve the Differential Equation	y''''=10^(x+y)	$y'' = 10^{x + y}$
76396	Solve the Differential Equation	(3y^2+1)/(y^3+y)*(dy)/(dx)=2x	$\frac{3 y^{2} + 1}{y^{3} + y} \cdot \frac{d y}{d x} = 2 x$
76397	Solve the Differential Equation	2y''''-3y''''+4y=0	$2 y'' - 3 y'' + 4 y = 0$
76398	Solve the Differential Equation	y''''=tan(x+y)^2	$y'' = \tan^{2} (x + y)$
76399	Solve the Differential Equation	y''''=12-x-x^2	$y'' = 12 - x - x^{2}$
76400	Solve the Differential Equation	(dy)/(dx)=5x^(-3/4) , y(1)=9	$\frac{d y}{d x} = 5 x^{- \frac{3}{4}}$ , $y (1) = 9$