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Popular >

(dy)/(dx)=9x

Solution

\frac{d y}{d x} = 9 x

Solution

y = \frac{9 x ^{2}}{2} + c_{1}

Solution steps

\frac{d y}{d x} = 9 x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 9 x

If

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

then

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

y = \int 9 x d x

\int 9 x d x = \frac{9 x ^{2}}{2} + c_{1}

y = \frac{9 x ^{2}}{2} + c_{1}

Popular Examples

integral of y/(1+y)

\int \frac{y}{1 + y} d y

integral of sec(3x)

\int sec (3 x) d x

y^{^{'}} + 2 y = 7 x y^{2}

integral from 0 to 4 of (5t)/((t-5)^2)

\int_{0}^{4} \frac{5 t}{( t - 5 ) ^{2}} d t

integral of 2/((x-1)^3)

\int \frac{2}{( x - 1 ) ^{3}} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=9x ?
The solution for (dy)/(dx)=9x is y=(9x^2)/2+c_{1}