Differential Equations Answers

The velocity of a moving vehicle is given by the equation v=(2t+3)^4 .Use the Chain Rule to determine an equation for the acceleration when a=dv/dt.

solve the following initial value problem d^2y/dx^2 + dy/dx -2y=-6 sin2x-18cos2x where y(0)=2, y'(0)=2

Find the general solution of the partial differential equation :

(D-2D’+5)(D^2+D’+3)z=e^3x+4y sin(x-y) ?

Solve z = (x – y)∅ (x² + y²)

Solve : x(y^2-z^2)p+y(z^2-x^2)q=z(x^2-y^2)

(xy^2)dx + (zx^2)dy −( x^2y^2)dz=0

Solvable for y

y²p-2xp+y=0

(Yz+2x)dx+(zx+2y)dy+(xy+2z)dz=0

Using the method of undetermined coefficients find the general solution of the differential equation

y^iv-2y"'+2y"=3e^-x+3e^-x+e^-xsinx

Solve the ordinary differential equation

Y"+y''+y=0