(adsbygoogle = window.adsbygoogle || []).push({}); URGENT: Differential Equation

1. The problem statement, all variables and given/known data

Use suitable substitutions to solve the following equation:

y' + xy = y^3

2. Relevant equations

dy/dx + P(x)y = Q(x)

I(x) = e^(integral(P(x)dx)

y = (Integral of(I(x)Q(x)))/I(x)

3. The attempt at a solution

dy/dx + xy = y^3

P(x) = x, Q(x) = y^3

I(x) = e^((x^2)/2)

y = (integral of (e^((x^2)/2))*y^3)/(e^((x^2)/2))

**This is not a multi-variable calculus class.

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# Homework Help: : Differential Equation

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