For this problem, we'll revisit the idea of homogeneous differential equations. Recall that an ODE y' = f(x, y) is homogeneous if for any λ +0, f(Ax, Ay) = f(x, y). In lecture, we discussed that to solve a homogeneous ODE, we need the substi- tution y = vx to turn it into a separable ODE. Prove this fact.

For this problem, we'll revisit the idea of homogeneous differential equations. Recall that an ODE y' = f(x, y) is homogeneous if for any λ +0, f(Ax, Ay) = f(x, y). In lecture, we discussed that to solve a homogeneous ODE, we need the substi- tution y = vx to turn it into a separable ODE. Prove this fact.

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 8CR

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