Differential Equations Answers

Applications of Differential Equation of Exponential Growth of Bacteria

Applications of Differential Equation of Newton’s Second Law of Motion

Applications of Differential Equation of Bernoulli’s Equation

Applications of Differential Equation of Population Growth

Form the partial differential equation by eliminating the arbitrary constants a and b from z = xy + y((x+a) ^1/2) + b

Obtain the solution of the differential equation

(x^2)y" - 2xy' + 2y = (log (base e) x) ^2, (x>0),

using the method of undetermined coefficients.

Obtain the solution of the differential equation

y"+3y'+2y=e^(2t) using the method of variation of parameters

Find the order and degree of the following differential equations

a)      D^y/dx^3+6d^2y/dx+11dy/dx+6y=0

b)     (D^3y/dx^3)^2-3d^2y/dx^2+4y=0

c)      (1-x^2)dy/dx-xy=1

d)     2d^2y/dx^2-3dy/dx+y=0

Find the order and degree (D^3y/dx^3)^2-3d^2y/dx^2+4y=0

Solve the initial value problem.

y′′+y=1, y(0)=2, y′(0)=7.