Explore BrainMass

# Differential equations

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

1) consider the equation (non-homogenous):

<i> Please see attachment for equation. </i>

? find its general solution
? find the particular solution of this equation, satisfying the initial condition
y(0)=0, y'(0)=0, y''(0)=0

2) find the general solution of the differential equation (non-homogeneous)

<i> Please see attachment for equation. </i>

https://brainmass.com/math/calculus-and-analysis/differential-equations-general-particular-solutions-28269

#### Solution Preview

see attached file

1) consider the equation (non-honogenous):

----- (1)

â€¢ find its general solution
â€¢ find the particular solution of this equation, satisfying the initial condition

y(0)=0, y'(0)=0, y''(0)=0

aux. Equation is : m^3 - 4m^2 + 3m = 0
m*[m^2 - 4m +3 ] = 0
m*(m-1)*(m-3) = 0
Roots are m1 = 0, m2 = 1, and m3 = 3
Gen. Soln is: yg (x) = C1 + ...

#### Solution Summary

This shows how to find general and particular solutions of differential equations.

\$2.49