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Popular >

(dy)/(dx)=e^x

Solution

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

Solution

y = e^{x} + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int e^{x} d x

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

y = e^{x} + c_{1}

Popular Examples

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\frac{d}{d x} (\frac{a x + b}{c})

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\int tan^{2} (t) d tan (t)

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\int 16 - 3 x^{2} d x

derivative of (1+7x^2(x-x^2))

\frac{d}{d x} ((1 + 7 x^{2}) (x - x^{2}))

integral from-5 to 5 of x(25-x^2)

\int_{- 5}^{5} x (25 - x^{2}) d x

Frequently Asked Questions (FAQ)

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