In Problems 37 through 42, determine by inspection at least |one solution of the given differential equation. That is, use your knowledge of derivatives to make an intelligent guess. Then test your hypothesis. 37. y" = 0 39. xy' + y = 3x² 41. y' + y = e* 38. y' = y 40. (y')² + y² = 1 42. y" + y = 0

In Problems 37 through 42, determine by inspection at least |one solution of the given differential equation. That is, use your knowledge of derivatives to make an intelligent guess. Then test your hypothesis. 37. y" = 0 39. xy' + y = 3x² 41. y' + y = e* 38. y' = y 40. (y')² + y² = 1 42. y" + 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

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 5E

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