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Popular >

(dy)/(dx)=e^x-6x^2

Solution

\frac{d y}{d x} = e^{x} - 6 x^{2}

Solution

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

Solution steps

\frac{d y}{d x} = e^{x} - 6 x^{2}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = e^{x} - 6 x^{2}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int e^{x} - 6 x^{2} d x

\int e^{x} - 6 x^{2} d x = e^{x} - 2 x^{3} + c_{1}

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

Popular Examples

tangent of y=x^3+x tangent of

y = x^{3} + x

integral of x^2ex

\int x^{2} e x d x

derivative of (sin(θ))/3+c/θ derivative of

\frac{sin ( θ )}{3} + \frac{c}{θ}

derivative of 3z derivative of

3 z

derivative of 1/4 x^4

\frac{d}{d x} (\frac{1}{4} x^{4})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=e^x-6x^2 ?
The solution for (dy)/(dx)=e^x-6x^2 is y=e^x-2x^3+c_{1}