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Popular >

(dy)/(dx)=x^2-1

Solution

\frac{d y}{d x} = x^{2} - 1

Solution

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

Solution steps

\frac{d y}{d x} = x^{2} - 1

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x^{2} - 1

If

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

then

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

y = \int x^{2} - 1 d x

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

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

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\frac{d}{d x} (ln (2 x) - \frac{1}{4} x)

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\frac{d}{d x} (x^{9} e^{8 x})

derivative of e^{3t}derivative of

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(dy)/(dx)=((3x+2y+1/3)^2)/(3x+2y+1/3)

\frac{d y}{d x} = \frac{( 3 x + 2 y + \frac{1}{3} ) ^{2}}{3 x + 2 y + \frac{1}{3}}

Frequently Asked Questions (FAQ)

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