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Popular >

(dy)/(dx)=4x^3

Solution

\frac{d y}{d x} = 4 x^{3}

Solution

y = x^{4} + c_{1}

Solution steps

\frac{d y}{d x} = 4 x^{3}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 4 x^{3}

If

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

then

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

y = \int 4 x^{3} d x

\int 4 x^{3} d x = x^{4} + c_{1}

y = x^{4} + c_{1}

Graph

Popular Examples

tangent of f(x)=-5cos(x),\at x= pi/2 tangent of

f (x) = - 5 cos (x), at x = \frac{π}{2}

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

\int \frac{3}{x} + \frac{2}{x ^{2}} d x

(dy)/(dx)=((x-1))/((y-4))

\frac{d y}{d x} = \frac{( x - 1 )}{( y - 4 )}

integral from 2 to infinity of 3/(x^2-x)

\int_{2}^{\infty} \frac{3}{x ^{2} - x} d x

area y=x^3-x,y=7x-x^3 area

y = x^{3} - x, y = 7 x - x^{3}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=4x^3 ?
The solution for (dy)/(dx)=4x^3 is y=x^4+c_{1}