dv 22² = 3/ dt v-1 32 a) Write the given first-order LDE in standard form. b) Solve for the general solution of your answer in part (a) using method of solution for first-order linear differential equations. Express your answer in explicit form. c) Solve for the particular solution of your result in part (b) assuming zero initial conditions, i.e., v(0) = 0. d) Solve for lif the final value of your answer in part (c) is equal to 128, i.e., lim v(t) = 128. t→∞0

dv 22² = 3/ dt v-1 32 a) Write the given first-order LDE in standard form. b) Solve for the general solution of your answer in part (a) using method of solution for first-order linear differential equations. Express your answer in explicit form. c) Solve for the particular solution of your result in part (b) assuming zero initial conditions, i.e., v(0) = 0. d) Solve for lif the final value of your answer in part (c) is equal to 128, i.e., lim v(t) = 128. t→∞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

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...

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