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Solve the following initial value problems by linear substitution: 1. y' = (x+y+1)², y (0) = √√3-1

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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Question

Solve the following initial value problems by linear
substitution:
1. y' = (x+y+1)², y(0)= √3-1
2. y' − 2 = √√√y – 2x+3, y(1) = 3

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