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Solve y + 2y + 10y -90( 15), y(0) = 1, y (0)

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

Section11.2: Linear First-order Differential Equations

Problem 2YT: YOUR TURN Solve the initial value problem dydx+2xyxex2=0 with y(0)=3.

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Please walk me through how to do this problem involving the delta function in a second order differential equation. I have provided both the question and the correct answer. Thank you!

[43] y(t) = et cos 3t+ et sin 3t-3u(t−10)e¯(t−1⁰) sin 3(t−10)+4u(t−15)e¯(t-15) sin 3(t-15)

[43] Solve y" + 2y' + 10y = −98(t — 10) + 128(t – 15), y(0) = 1, y′(0) = 3.

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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