Solutions to linear differential equations can be written using convolutions as y = YIvp + (h(t) * f(t)) YIVP 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 y" + 8y + 15y = 6t²e-3t with y(0) = 3, y(0) = -9
Solutions to linear differential equations can be written using convolutions as y = YIvp + (h(t) * f(t)) YIVP 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 y" + 8y + 15y = 6t²e-3t with y(0) = 3, y(0) = -9
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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