de-fx(1)

B 3 pts next write down the differential equation

Info iconThis preview shows pages 4–6. Sign up to view the full content.

View Full Document Right Arrow Icon
(b) (3 pts.) Next, write down the differential equation that the orthogonal trajectories to the family of curves defined by (*) satisfy. (c) (3 pts.) Finally, solve the differential equation of part (b) to obtain the equation(s) defining the orthogonal trajectories. (*) y e cx
Background image of page 4

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
MAP2302/FinalExam Page 5 of 6 ______________________________________________________________________ 6. (10 pts.) The equation has a regular singular point at x 0 = 0. Substitution of into the ODE and a half a page of algebra yields Using this information, (a) write the form of the two linearly independent solutions to the ODE given by Theorem 6.3 without obtaining the numerical values of the coefficients of the series involved, and then (b) do obtain the the numerical values of the coefficients c 1 , ... , c 5 to the first solution, y 1 ( x ), given by Theorem 6.3 when c 0 = 1. [ Keep the parts separate. ] ______________________________________________________________________ 7. (10 pts.) Solve the following second order initial-value problem using only the Laplace transform machine.
Background image of page 5
MAP2302/FinalExam Page 6 of 6 ______________________________________________________________________ 8. (10 pts.) (a) Given
Background image of page 6
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page4 / 6

b 3 pts Next write down the differential equation that the...

This preview shows document pages 4 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online