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Popular >

y^'=4sqrt(x)y

Solution

y^{^{'}} = 4 x y

Solution

y = e^{\frac{8}{3} x^{\frac{3}{2}} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{8}{3} x^{\frac{3}{2}} + c_{1}}

y = e^{\frac{8}{3} x^{\frac{3}{2}} + c_{1}}

Graph

Popular Examples

integral of (x^2-x+1)/(sqrt((x^2+1)^3))

\int \frac{x ^{2} - x + 1}{( x ^{2} + 1 ) ^{3}} d x

derivative of 3e^x+8/(\sqrt[3]{x)}derivative of

3 e^{x} + \frac{8}{3 x}

integral of 6/(sqrt(1-x^2))

\int \frac{6}{1 - x ^{2}} d x

derivative of ln(sqrt(pi))

\frac{d}{d x} (ln (π))

sum from n=1 to infinity of n^{-1/3}

n = 1 \sum \infty n^{- \frac{1}{3}}

Frequently Asked Questions (FAQ)

What is the solution for y^'=4sqrt(x)y ?
The solution for y^'=4sqrt(x)y is y=e^{8/3 x^{3/2}+c_{1}}