Find the general solution of the following differential equation. Primes denote derivatives with respect to x.2x?y' + 5xy = 12yThe general solution is.(Type an implicit general solution in the form F(x,y)= C, where C is an arbitrary constant. Type an expression using x and y as the variables.)

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find the general solution of the following differential equation. Primes denote derivatives with respect to x.
2x?y' + 5xy = 12y
The general solution is.
(Type an implicit general solution in the form F(x,y)= C, where C is an arbitrary constant. Type an expression using x and y as the variables.)

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Step 1

$G i v e n, 2 x^{2} y' + 15 x y = 12 y^{3} A first order Bernoulli ODE has the form of y' + p (x) y = q (x) y^{n} y' + \frac{15}{2 x} y = \frac{6}{x^{2}} y^{3}$

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