2. Find the general solution of the following linear differential equation. show all work and do not use formulas for the solution. V = 1 + ¹, Make an attempt to find the particular solution for the initial condition a) y(-1) = 0, b) y(1) = 1, c) y(2) = 3, d) Clearly state for which of the initial conditions above, the particular solution exists and for which is does not exist.
2. Find the general solution of the following linear differential equation. show all work and do not use formulas for the solution. V = 1 + ¹, Make an attempt to find the particular solution for the initial condition a) y(-1) = 0, b) y(1) = 1, c) y(2) = 3, d) Clearly state for which of the initial conditions above, the particular solution exists and for which is does not exist.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. Find the general solution of the following linear differential equation.
show all work and do not use formulas for the solution.
V = ! + 1,
Make an attempt to find the particular solution for the initial condition
a) y(-1) = 0,
b) y(1) = 1,
c) y(2) = 3,
d) Clearly state for which of the initial conditions above, the particular
solution exists and for which is does not exist.
y' = 1/2+1
Y
3y² + (-1) + 7 = 1
1.
y [h), y)' =
=Seat,
: Y =
-0
t+t
+(-
t
4²=-=—
2 1/- 4) - (- 4
gh /₁ (h) = - lalt)
-t
• h(x) =
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