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Use the method for solving Bernoulli equations to solve the following differential equation. dy y dx x-10 + = 5(x-10)y 1 2 Ignoring lost solutions, if any, the general solution is y=. (Type an expression using x as the variable.)

Use the method for solving Bernoulli equations to solve the following differential equation. dy y dx x-10 + = 5(x-10)y 1 2 Ignoring lost solutions, if any, the general solution is y=. (Type an expression using x as the variable.)

Advanced Engineering Mathematics
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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Use the method for solving Bernoulli equations to solve the following differential equation. dy y + dx x-10 = 2 5(x-10)y Ignoring lost solutions, if any, the general solution is y = (Type an expression using x as the variable.)
Transcribed Image Text:Use the method for solving Bernoulli equations to solve the following differential equation. dy y + dx x-10 = 2 5(x-10)y Ignoring lost solutions, if any, the general solution is y = (Type an expression using x as the variable.)
Expert Solution
Step 1

Consider:

dydx+yx-10=5x-10y12⇒1y12dydx+y12x-10=5x-10                         ...(1)

Let y12=t.

So,

y12=t⇒ddxy12=dtdx⇒12y12dydx=dtdx⇒1y12dydx=2dtdx

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