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Popular >

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

Solution

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

Solution

y = 6 e^{x} + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

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

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

y = 6 e^{x} + c_{1}

Popular Examples

(\partial)/(\partial t)(-2sqrt(s^2+t^2))

\frac{\partial}{\partial t} (- 2 s^{2} + t^{2})

derivative of 6x+2

\frac{d}{d x} (6 x + 2)

integral of 4sin^{-3/2}(x)cos^3(x)

\int 4 sin^{- \frac{3}{2}} (x) cos^{3} (x) d x

integral from 0 to 7 of sqrt(x+9)

\int_{0}^{7} x + 9 d x

f (x) = 3 x

Frequently Asked Questions (FAQ)

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