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Popular >

(dy)/(dx)=5e^x

Solution

\frac{d y}{d x} = 5 e^{x}

Solution

y = 5 e^{x} + c_{1}

Solution steps

\frac{d y}{d x} = 5 e^{x}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 5 e^{x}

If

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

then

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

y = \int 5 e^{x} d x

\int 5 e^{x} d x = 5 e^{x} + c_{1}

y = 5 e^{x} + c_{1}

Popular Examples

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\frac{d}{d x} (ln (1 + cos (x)))

integral from 0 to 1 of xarcsin(x^2)

\int_{0}^{1} x arcsin (x^{2}) d x

derivative of 1200sqrt(x^2-0.1x)

\frac{d}{d x} (1200 x^{2} - 0.1 x)

derivative of 1/(x^3+1)

\frac{d}{d x} (\frac{1}{x ^{3} + 1})

(dy)/(dx)=xy+4x+5y+20

\frac{d y}{d x} = x y + 4 x + 5 y + 20

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=5e^x ?
The solution for (dy)/(dx)=5e^x is y=5e^x+c_{1}