In this problem you will use variation of parameters to solve the nonhomogeneous equation fy +3ty - 3y = +? A. Plug y = " into the associated homogeneous equation (with "0" instead of " +f") to get an equation with only t and n. (Note: Do not cancel out the f, or webwork won't accept your answerl) B. Solve the equation above for n (use t # 0 to cancel out the t). You should get two values for n, which give two fundamental solutions of the form y = ". y2 = w (y.2) = C. To use variation of parameters, the linear differential equation must be written in standard form y" + py + qy = g. What is the function g? g(t) =
In this problem you will use variation of parameters to solve the nonhomogeneous equation fy +3ty - 3y = +? A. Plug y = " into the associated homogeneous equation (with "0" instead of " +f") to get an equation with only t and n. (Note: Do not cancel out the f, or webwork won't accept your answerl) B. Solve the equation above for n (use t # 0 to cancel out the t). You should get two values for n, which give two fundamental solutions of the form y = ". y2 = w (y.2) = C. To use variation of parameters, the linear differential equation must be written in standard form y" + py + qy = g. What is the function g? g(t) =
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:In this problem you will use variation of parameters to solve the nonhomogeneous equation
fy +3ty - 3y = +?
A. Plug y = " into the associated homogeneous equation (with "0" instead of "1 +2) to get an equation with only t and n.
(Note: Do not cancel out the f, or webwork won't accept your answerl)
B. Solve the equation above for n (use t # 0 to cancel out the t).
You should get two values for n, which give two fundamental solutions of the form y = ".
Yi =
y2 =
w (y.2) =
C. To use variation of parameters, the linear differential equation must be written in standard form y" + py + qy = g.
What is the function g?
g(t)
D. Compute the following integrals.
dt =
W
y28 dt =
W
E. Write the general solution. (Use c1 and c2 for c and c2).
y =
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