Recent content by Trestal
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Solution of Laplace Integral Equation Using Convolution Theorem
Finally got it. Took me hours to work through that but I just couldn't see a solution until you gave me a push. Cheers Solve for y then solve using partial fractions before being able to invert Final answer F(t) = 1/5*e^2t - 1/5cos(t) + 3/5sin(t) Thanks again!- Trestal
- Post #3
- Forum: Calculus and Beyond Homework Help
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Solution of Laplace Integral Equation Using Convolution Theorem
Homework Statement By taking the Laplace transform and using the convolution theorem, obtain the solution of the integral equationHomework Equations f(t) = sin t + ∫e^(t-u)*f(u) du integral is from 0 to tThe Attempt at a Solution I used the following site as a reference for how to construct the...- Trestal
- Thread
- Integral Integral equation Laplace
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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Graduate Riccati Equation. Unsure what substitution to use
Hi, I have the equation y' = y^2 + x^2 and am asked to linearise the equation with the appropriate substitution and then solve the resulting 2nd order linear equation. My issue is I am unsure what to substitute in for y. I can't seem to find a choice for y which the differential will be a...- Trestal
- Thread
- Substitution
- Replies: 4
- Forum: Differential Equations