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Popular Calculus >

(dy)/(dx)=6x^2y

Solution

\frac{d y}{d x} = 6 x^{2} y

Solution

y = e^{2 x^{3} + c_{1}}

Solution steps

\frac{d y}{d x} = 6 x^{2} y

Solve separable ODE:

y = e^{2 x^{3} + c_{1}}

y = e^{2 x^{3} + c_{1}}

Graph

Popular Examples

sum from n=1 to infinity of ne^{-8n}

n = 1 \sum \infty n e^{- 8 n}

integral of 1/(x^2)ln(x)

\int \frac{1}{x ^{2}} ln (x) d x

d/(dy)((ln(y))/(2sqrt(y))+1/(sqrt(y)))

\frac{d}{d y} (\frac{ln ( y )}{2 y} + \frac{1}{y})

limit as x approaches-2 of-10

x \to - 2 lim (- 10)

xy^'+y=y^2,y(1)=-9

x y^{^{'}} + y = y^{2}, y (1) = - 9

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=6x^2y ?
The solution for (dy)/(dx)=6x^2y is y=e^{2x^3+c_{1}}