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Popular >

(dy)/(dx)=e^{4x}

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = e^{4 x}

If

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

then

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

y = \int e^{4 x} d x

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

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

Popular Examples

maclaurin x^2e^{-x^2}maclaurin

x^{2} e^{- x^{2}}

derivative of sqrt(x+3)derivative of

x + 3

derivative of g(t)=6t^3cos(t)derivative of

g (t) = 6 t^{3} cos (t)

extreme f(x)=xy extreme points

f (x) = x y

integral from 1 to 4 of x^{3/2}

\int_{1}^{4} x^{\frac{3}{2}} d x

Frequently Asked Questions (FAQ)

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