Differential Equations Answers

Solve the equation xfrac{dy}{dx}-ay=x+1 where a is a constant

The general solution of the equation is y'+(cotx)y=xcscx

Use the separable method to solve the differential equation fracdydx=xy

Solve the equation y'=x(1+y^2) by using variable separable

Find the general solution frac{dy}{dx}= frac{2y^2+3xy}{x^2}

Using integrating factor, solve the differential equation frac {dy}{dx}+y=e^{x}

(3x+y-z)p+(x+y-z)q=2(z-y)

Find the general solution of the differential eq. y^2/2+2ye^t+(y+e^t)dy/dt=0

Find the orthagonal trijectries of the family of parabolas x=cy^2 and sketch their graph

If f and g are arbitrary function of their respective arguments, show that u= f( x -vt+i alpha y ) is a solution of (d^2u/dx^2 ) + (d^2u/dy^2) = (1/c^2) (d^2u/dt^2), where (alpha)^2 = 1-(v^2/c^2)?