Differential Equations Answers

Solve the following system of ODE:
x' -y -y' = - e^t

Solve the following equations using Wronskian’s method:
y ՜ ՜-3y ՜+2y = e2t /(et +1).

Solve the partial differential equation: r+ (a+b)s + abt = xy

Solve the partial differential equation :
z (z^2-xy )(px-qy) = x^4

A bar 100cm of along with insulted sites has its ends kept at zero degree Celsius and under degree Celsius until studies trip reveals two ends Har then suddenly insulted and kept so find the temperature distribution

Solve
dx/x+y-xy^2=dy/x^2-x-y=dz/z(y^2-x^2)

A string is stretched and fastened to two points distance l apart. Motion is started by displacing the string into the form y=k(lx-x^2),from which it is released at time t=0.write the governing differential equation and initial and boundary condition for this problem

Solve
(D^4+2D^3-3D^2)y=x^2+3e^2x+4sinx

Using x^2=t,reduce the equation
2xydx+(1-x^2+2y)dy=0
to the linear form and hence solve it

Solve
(D^3-DD'^2+D^2+DD')z=(x+2)+e^(x-y)