Inhomogeneous equations: Variation of Parameters

peace-Econ
Messages
34
Reaction score
0

Homework Statement



Find a particular solution for these second order differential equations.

Homework Equations



1) y''+9y=tan3t

2) y''+y=tan^2t

The Attempt at a Solution



I want to find a fundamental solutions y1 and y2 because I want to find a particular solution like this y=v1*y1+v2*y2, but i don't know how to get them.
 
Physics news on Phys.org

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Variation of parameter VS Undetermined Coefficients
Replies
7
Views
2K
Solve for the solution of the differential equation
Replies
9
Views
2K
Solving Systems of Inhomogeneous Linear ODEs
Replies
3
Views
2K
How Do I Solve a Second Order ODE with Non-Constant Coefficients?
Replies
2
Views
1K
Solving differential equation (t^2-1)y''-6y=1
Replies
2
Views
778
Variation of parameters: where is my mistake?
Replies
2
Views
1K
The General Solution of the DE y''+y'=tan(t) ?
Replies
2
Views
3K
Differential equations, variation of parameters
Replies
1
Views
3K
Variation of Parameters to solve a second order ODE
Replies
3
Views
2K
ODE question: Understanding a step in the solution
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top