mark126
Oct29-08, 02:14 PM
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.
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.