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Popular >

(dy)/(dx)=6x^2+3

Solution

\frac{d y}{d x} = 6 x^{2} + 3

Solution

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

Solution steps

\frac{d y}{d x} = 6 x^{2} + 3

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 6 x^{2} + 3

If

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

then

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

y = \int 6 x^{2} + 3 d x

\int 6 x^{2} + 3 d x = 2 x^{3} + 3 x + c_{1}

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

Popular Examples

integral from 0 to 1 of ln(6x)

\int_{0}^{1} ln (6 x) d x

integral from 0 to 4 of (x^2)/(x^3+7)

\int_{0}^{4} \frac{x ^{2}}{x ^{3} + 7} d x

derivative of f(x)=((e^x))/((1-e^x))derivative of

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

integral of x^2(ln(x))

\int x^{2} (ln (x)) d x

integral of (1 (y))^2

\int (\frac{d}{1} (y))^{2} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=6x^2+3 ?
The solution for (dy)/(dx)=6x^2+3 is y=2x^3+3x+c_{1}