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Popular >

(dy)/(dx)=yx^3

Solution

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

Solution

y = e^{\frac{x ^{4}}{4} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{x ^{4}}{4} + c_{1}}

y = e^{\frac{x ^{4}}{4} + c_{1}}

Popular Examples

(dy}{dx}=\frac{y-1)/x

\frac{d y}{d x} = \frac{y - 1}{x}

(2xy-x+2y-1)dx+(4x^2y^2-x^2+4xy^2-x)dy=0

(2 x y - x + 2 y - 1) d x + (4 x^{2} y^{2} - x^{2} + 4 x y^{2} - x) d y = 0

(dy)/(dx)-3y-ln(3)=0

\frac{d y}{d x} - 3 y - ln (3) = 0

(dy)/(dx)=-4xy+8x

\frac{d y}{d x} = - 4 x y + 8 x

(x ln (x)) y^{^{'}} = y

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=yx^3 ?
The solution for (dy)/(dx)=yx^3 is y=e^{(x^4)/4+c_{1}}