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Popular >

(dy)/(dx)=3x^2

Solution

\frac{d y}{d x} = 3 x^{2}

Solution

y = x^{3} + c_{1}

Solution steps

\frac{d y}{d x} = 3 x^{2}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 3 x^{2}

If

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

then

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

y = \int 3 x^{2} d x

\int 3 x^{2} d x = x^{3} + c_{1}

y = x^{3} + c_{1}

Popular Examples

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\frac{d}{d x} (e^{- x} cos (5 x))

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(8 \frac{1}{7}, 9), (4, 3.2)

limit as x approaches 0 of ((3e^{-x}-3))/(x^2-2x)

x \to 0 lim (\frac{( 3 e ^{- x} - 3 )}{x ^{2} - 2 x})

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y = sin^{2} (x) - cos^{2} (x)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=3x^2 ?
The solution for (dy)/(dx)=3x^2 is y=x^3+c_{1}