In hs problem you wil use vanation of parameters to solve the nonhomogeneous equation t'y + 2ty - 6y = t + 3t A. Plug y= t" into the associated homogeneous equation (with "0" instead of "t +3t") to get an equation with only t and n (Note Do not cancel out the t, or webwork won't accept your answert) B. Solve the equation above for n (use t0 to cancel out the t). You should get two values for n, which give two fundamental solutions of the form y = t". W (.92) C. To use vartation of parameters, the linear diferential equation must be written in standard form y+ py + gy = 9 What is the function g? 9(t) = D. Compute the following integrats dt- E. Write the general solution (Use el and e2 for e and e)
In hs problem you wil use vanation of parameters to solve the nonhomogeneous equation t'y + 2ty - 6y = t + 3t A. Plug y= t" into the associated homogeneous equation (with "0" instead of "t +3t") to get an equation with only t and n (Note Do not cancel out the t, or webwork won't accept your answert) B. Solve the equation above for n (use t0 to cancel out the t). You should get two values for n, which give two fundamental solutions of the form y = t". W (.92) C. To use vartation of parameters, the linear diferential equation must be written in standard form y+ py + gy = 9 What is the function g? 9(t) = D. Compute the following integrats dt- E. Write the general solution (Use el and e2 for e and e)
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
t'y+2ty-6y = t + 3t
A. Plug y=t into the associated homogeneous equation (with "0" instead of "t+ 312") to get an equation with only t and n
(Note Do not cancel out the t, or webwork won't accept your answert)
B. Solve the equation above for n (use t0 to cancel out the t).
You should get two values for n, which give two tundamental solutions of the form y = t"
W (91.92)
C. To use variation of parameters, the linear differential equation must be written in standard form " + py +qy = g
What is the function g?
9(t) =
D. Compute the following integrals
19
%3D
y19 at=
W
E. Write the general solution (Use el and e2 for e and ez).
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