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Popular >

(dy)/(dx)=4e^{-3x}

Solution

\frac{d y}{d x} = 4 e^{- 3 x}

Solution

y = - \frac{4}{3} e^{- 3 x} + c_{1}

Solution steps

\frac{d y}{d x} = 4 e^{- 3 x}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 4 e^{- 3 x}

If

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

then

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

y = \int 4 e^{- 3 x} d x

\int 4 e^{- 3 x} d x = - \frac{4}{3} e^{- 3 x} + c_{1}

y = - \frac{4}{3} e^{- 3 x} + c_{1}

Popular Examples

integral of e^x*sin(e^x)

\int e^{x} \cdot sin (e^{x}) d x

limit as x approaches 3-of-(3)^2+5(3)-5

x \to 3 - lim (- (3)^{2} + 5 (3) - 5)

tangent of 8sqrt(x)-2 tangent of

8 x - 2

integral from 0 to 1 of (3e^{-x}-e^{-2x})

\int_{0}^{1} (3 e^{- x} - e^{- 2 x}) d x

y^{''}+6y^'+9y=27+e^{-3x}

y^{^{''}} + 6 y^{^{'}} + 9 y = 27 + e^{- 3 x}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=4e^{-3x} ?
The solution for (dy)/(dx)=4e^{-3x} is y=-4/3 e^{-3x}+c_{1}