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Popular >

(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}

Popular Examples

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

x \to - 1 lim (- x^{2} + 1)

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

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

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

\int_{0}^{1} \frac{2}{t ^{2} + 1} d t

derivative of (e^x)/(4x^2+3)derivative of

\frac{e ^{x}}{4 x ^{2} + 3}

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

f (x) = 2 π r^{2} + \frac{1000}{r}

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}