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Popular Calculus >

(dy)/(dx)=3x

Solution

\frac{d y}{d x} = 3 x

Solution

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

Solution steps

\frac{d y}{d x} = 3 x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 3 x

If

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

then

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

y = \int 3 x d x

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

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

Graph

Popular Examples

limit as x approaches-1 of-x^2+1

y^{''}-12y^'+36y=0,y(0)=-2,y^'(0)=3

integral from 0 to 1 of 2/(t^2+1)

derivative of f(x)=2pir^2+(1000)/r

tangent of y= 6/(sqrt(x)),(36, 6/6)

Frequently Asked Questions (FAQ)

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