Differential Equations Answers

Find a general solution of the following differential equation

dy/dx - 5y = (xe^-2x)*y^-2

Solve the given initial value problem.

dy/dx = y(2x^2 +y^2)/2x^3

subject to y(1) = 1.

(d^3-5d^2+7d-3)y=0

(D^2+4D+3)y=2cos^2x

Find the general solutions of the following differential equations using D-operator methods:

(D + 4)² x = sinh 4t

Solve for x in the following set of simultaneous differential equations by using D-operator methods:

(D + 2) x - 3y = 1

-3x + (D + ) y = e^-t

Find the general solutions of the following differential equations using D-operator methods:

(D^2 - 2D + 5) y = x + 5

solve the initial value problem y''-4y'+4y=64sin2t for y(0)=0 and y'(0)=1

Find the complete integral of p - 3 x² = q² - y