Previous Problem Problem List Next Problem Solutions to linear differential equations can be written using convolutions as y = STVP + (h(t) * f(t)) • yvp is the solution to the associated homogeneous differential equation with the given initial values (ignore the forcing function, keep initial values). •h(t) is the impulse response (ignore the initial values and forcing function). f(t) is the forcing function. (ignore the initial values and differential equation). Use the form above to write the solution to the differential equation "-3y + 2y=-9t²e² If you don't get this in 1 tries, you can get a hint. with y(0) = 5, y(0) = 7 1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solutions to linear differential equations can be written using convolutions as
y = BIVP + (h(t) * f(t))
• yvp is the solution to the associated homogeneous differential equation with the given initial values
(ignore the forcing function, keep initial values).
.h(t) is the impulse response
(ignore the initial values and forcing function).
. f(t) is the forcing function.
(ignore the initial values and differential equation).
Use the form above to write the solution to the differential equation
"-3y + 2y = -91²e¹ with y(0) 5, 1/(0)-7
If you don't get this in 1 tries, you can get a hint.
Meter Vran nam natial et on this nebiam
Transcribed Image Text:Previous Problem Problem List Next Problem Solutions to linear differential equations can be written using convolutions as y = BIVP + (h(t) * f(t)) • yvp is the solution to the associated homogeneous differential equation with the given initial values (ignore the forcing function, keep initial values). .h(t) is the impulse response (ignore the initial values and forcing function). . f(t) is the forcing function. (ignore the initial values and differential equation). Use the form above to write the solution to the differential equation "-3y + 2y = -91²e¹ with y(0) 5, 1/(0)-7 If you don't get this in 1 tries, you can get a hint. Meter Vran nam natial et on this nebiam
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