Differential Equations Answers

Solve the following first order linear equations

1)dy/dx=e^2x+3y

2)xy×dy/dx=2(y+3)

3)(1+x^2).dy/dx-xy(1+y)=0

4)sinx/1+y.dy/dx=cosx

5)cos^2x.dy/dx=y-3

show that y= c1e^x +c2^2x is the general soloution of ydobledash -3ydash+2y=0

Find a particular solution of y''+y=sinx, using the method of undetermined coefficients

Solve by the method of variation of parameter y''+y=secx

Solve by the method of variation of of parameter y''+y=secx

Solve the following initial value problem using Laplace transform. y''+16y = 2 sin 4t, y(0)=-1/2; y'(0)=0 

Find a power series solution pf xy'=y

Solve the equation of x²p²+xp-(y²+y)=0