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Popular >

y^'=8+2x-3x^2

Solution

y^{^{'}} = 8 + 2 x - 3 x^{2}

Solution

y = 8 x + x^{2} - x^{3} + c_{1}

Solution steps

y^{'} (x) = 8 + 2 x - 3 x^{2}

If

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

then

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

y = \int 8 + 2 x - 3 x^{2} d x

\int 8 + 2 x - 3 x^{2} d x = 8 x + x^{2} - x^{3} + c_{1}

y = 8 x + x^{2} - x^{3} + c_{1}

Popular Examples

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derivative of 2x^3-3x^2-12x

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f(x)=x-3x^{1/3}

f (x) = x - 3 x^{\frac{1}{3}}

f(x)=(2-x)/(x^2+4)

f (x) = \frac{2 - x}{x ^{2} + 4}

limit as x approaches 0 of 1/x sinh(x)

x \to 0 lim (\frac{1}{x} sinh (x))

Frequently Asked Questions (FAQ)

What is the solution for y^'=8+2x-3x^2 ?
The solution for y^'=8+2x-3x^2 is y=8x+x^2-x^3+c_{1}