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mark126
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URGENT: Differential Equation
Use suitable substitutions to solve the following equation:
y' + xy = y^3
dy/dx + P(x)y = Q(x)
I(x) = e^(integral(P(x)dx)
y = (Integral of(I(x)Q(x)))/I(x)
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.
Homework Statement
Use suitable substitutions to solve the following equation:
y' + xy = y^3
Homework Equations
dy/dx + P(x)y = Q(x)
I(x) = e^(integral(P(x)dx)
y = (Integral of(I(x)Q(x)))/I(x)
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.