What is the solution for derivative of (dy/(dx))=4x ?

The solution for derivative of (dy/(dx))=4x is y=(2x^3)/3+c_{1}x+c_{2}

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derivative of (dy/(dx))=4x

\frac{d}{d x} (\frac{d y}{d x}) = 4 x

y = \frac{2 x ^{3}}{3} + c_{1} x + c_{2}

Solution steps

\frac{d ^{2} y}{d x ^{2}} = 4 x

Solve

y^{''} (x) = 4 x : y^{'} (x) = 2 x^{2} + c_{1}

Solve

y^{'} (x) = 2 x^{2} + c_{1} : y = \frac{2 x ^{3}}{3} + c_{1} x + c_{2}

y = \frac{2 x ^{3}}{3} + c_{1} x + c_{2}

f (x) = - 3 e^{- 2 x} + 3

\int \frac{1}{( x ^{2} + 2 ) ^{\frac{5}{2}}} d x

\int \frac{u - 1}{u ^{2}} d u

\int_{0}^{\infty} x e^{- x^{2}} d x

\frac{\partial}{\partial y} (\frac{1}{x - y})

What is the solution for derivative of (dy/(dx))=4x ?
The solution for derivative of (dy/(dx))=4x is y=(2x^3)/3+c_{1}x+c_{2}