Solve the initial value problem.
y^('')-3y^(')+2y=0,y(0)=5,y^(')(0)=8
Solve the differential equation below.
(dy)/(dx)=(x-y)/(x)
Solve the following differential equation
(2x+y)+(x-2y)y^(')=0
The following second-order differential equation represents a simple harmonic oscillator. The
independent variable is time t. Find
ax^('')+1225x=3,x(0)=0,x^(')(0)=1
Solve the following nonlinear differential equation
xy^('2)=1-y^(2)