A Bernoulli differential equation is one of the form Use an appropriate substitution to solve the equation Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u = y¹ -n transforms the Bernoulli equation into the linear equation and find the solution that satisfies y(1) = 1. y(x) = dy da du dx + P(x)y = Q(x)y". + (1 − n)P(x)u = (1 − n)Q(x). y 8 y = 35 15¹

A Bernoulli differential equation is one of the form Use an appropriate substitution to solve the equation Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u = y¹ -n transforms the Bernoulli equation into the linear equation and find the solution that satisfies y(1) = 1. y(x) = dy da du dx + P(x)y = Q(x)y". + (1 − n)P(x)u = (1 − n)Q(x). y 8 y = 35 15¹

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 1CR

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