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Popular >

(dy)/(dx)=x^3

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int x^{3} d x

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

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

Popular Examples

(x+y-2)dx+(x-y+4)dy=0

(x + y - 2) d x + (x - y + 4) d y = 0

(\partial)/(\partial x)(e^x+cos(xy))

\frac{\partial}{\partial x} (e^{x} + cos (x y))

derivative of-x^2-2

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

integral of (2x)/(sqrt(9-x^4))

\int \frac{2 x}{9 - x ^{4}} d x

slope of (-3,1),(-7,-2)slope

(- 3, 1), (- 7, - 2)

Frequently Asked Questions (FAQ)

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