Differential Equations Answers

dx+y=cos3x
o yP(x)=1/10(−3sin3x−cos3x)
o yP(x)=1/10(−3sin3x+cos3x)
o yP(x)=1/10(3sin3x−cos3x)
o yP(x)=1/10(3sin3x+cos3x)

Solve the differential equation y′=x(1+y2)
y=tan(x/2+c)
y=−tan(x/2+c)
y=−tan(x^2/2+c)
y=tan(x^2/2+c)

Let A be a constant. Find the general solution of y ′ − a y = 0 a). y = c e^a x b). y = − c e^a x c). y = e^a x d). y = − e^a x

Find the value of n for which the equation (n-1)2 uxx-y2nuyy=ny2n-1uy is parabolic or hyperbolic.

Solve the differential equations: y=x(p²-2p+2)

Solve the initial value problem y′−2xy=1,y(0)=y0
y=e^−x2 (∫x0 e^−t2 dt+y0)
y=e^x2 (∫x0 e^−t2 dt+y0)
y=e^x2 (∫x0 e^t2 dt-y0)
y=(∫x0 e^−t2 dt+y0)

Find the integral surface of the PDE
(x-y)p+(y-x-z)q=z

(3D2-2D2+D-1)z=4ex+ycos(x+y)

y′+2y=x^3e^−2x

y=e^−2x(x^4/4+c)
y=e^2x(x^4/4−c)
y=−e^−2x(x^4/4−c)
y=−e^2x(x^4/4+c)

Find the general solution of
(y + 2xz)Zx - (x+2yZ)Zy = 1/2(x^2-y^2) X E R ; y>0