Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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
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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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