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Popular >

xy^'=6y(1+x^3)

Solution

x y^{^{'}} = 6 y (1 + x^{3})

Solution

y = e^{2 x^{3} + c_{1}} x^{6}

Solution steps

x y^{'} (x) = 6 y (1 + x^{3})

Solve separable ODE:

y = e^{2 x^{3} + c_{1}} x^{6}

y = e^{2 x^{3} + c_{1}} x^{6}

Popular Examples

sqrt(x)(dy)/(dx)=e^{5y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{5 y + x}, x > 0

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

2 x (\frac{d y}{d x}) = 1 + y^{2}

(x^2+4)((dy)/(dx))+xy=2x

(x^{2} + 4) (\frac{d y}{d x}) + x y = 2 x

y^{^{'}} + 6 x y = 18 x

3y(dy)/(dx)=5x^2

3 y \frac{d y}{d x} = 5 x^{2}

Frequently Asked Questions (FAQ)

What is the solution for xy^'=6y(1+x^3) ?
The solution for xy^'=6y(1+x^3) is y=e^{2x^3+c_{1}}x^6