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Popular >

(dy)/(dx)=9x^2

Solution

\frac{d y}{d x} = 9 x^{2}

Solution

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

Solution steps

\frac{d y}{d x} = 9 x^{2}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 9 x^{2}

If

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

then

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

y = \int 9 x^{2} d x

\int 9 x^{2} d x = 3 x^{3} + c_{1}

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

Graph

Popular Examples

laplacetransform x*sin(x)laplace transform

x \cdot sin (x)

y^{''}-12y^'+36y=0,y(0)=1,y(1)=0

y^{^{''}} - 12 y^{^{'}} + 36 y = 0, y (0) = 1, y (1) = 0

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

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

(d^2y)/(dx^2)+(dy)/(dx)=0

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} = 0

tangent of f(x)=x^3-7x^2,\at x=0 tangent of

f (x) = x^{3} - 7 x^{2}, at x = 0

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=9x^2 ?
The solution for (dy)/(dx)=9x^2 is y=3x^3+c_{1}