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# Solve the following differential equation. dydx=x2y+y - Mathematics and Statistics

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Sum

Solve the following differential equation.

dy/dx = x^2 y + y

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#### Solution

dy/dx = x^2 y + y = (x^2 +1)y

∴ 1/y dy = (x^2 + 1)dx

Integrating on both sides, we get

 int 1/y dy  = int (x^2+1) dx

∴ log  | y | = x^3/3 + x + c

Concept: Differential Equations
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#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 8 Differential Equation and Applications
Exercise 8.3 | Q 1.1 | Page 165
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