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=rential equation is one of the form dy dx or 1, the Bernoulli equation is linear. For other values of n, the ransforms the Bernoulli equation into the linear equation du dx + P(x)y = Q(x)y". + (1 − n)P(x)u = (1 − n)Q(x). stitution to solve the equation (3/2)/65 6 y' - - y = x satisfies y(1) = 1. y5 x 19

=rential equation is one of the form dy dx or 1, the Bernoulli equation is linear. For other values of n, the ransforms the Bernoulli equation into the linear equation du dx + P(x)y = Q(x)y". + (1 − n)P(x)u = (1 − n)Q(x). stitution to solve the equation (3/2)/65 6 y' - - y = x satisfies y(1) = 1. y5 x 19

Calculus For The Life Sciences
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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3 .) A Bernoulli differential equation is one of the form dy dx Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution = y¹ -12 transforms the Bernoulli equation into the linear equation du dx + P(x)y= Q(x)y". + (1 − n)P(x)u = (1 − n)Q(x). Use an appropriate substitution to solve the equation (66x)^18+66x^(3/2)/65 and find the solution that satisfies y(1) = 1. y(x) = 6 x - y5 x 19 2
Transcribed Image Text:3 .) A Bernoulli differential equation is one of the form dy dx Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution = y¹ -12 transforms the Bernoulli equation into the linear equation du dx + P(x)y= Q(x)y". + (1 − n)P(x)u = (1 − n)Q(x). Use an appropriate substitution to solve the equation (66x)^18+66x^(3/2)/65 and find the solution that satisfies y(1) = 1. y(x) = 6 x - y5 x 19 2
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