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Popular Calculus >

(dy)/(dx)=5yx

Solution

\frac{d y}{d x} = 5 y x

Solution

y = e^{\frac{5 x ^{2}}{2} + c_{1}}

Solution steps

\frac{d y}{d x} = 5 y x

Solve separable ODE:

y = e^{\frac{5 x ^{2}}{2} + c_{1}}

y = e^{\frac{5 x ^{2}}{2} + c_{1}}

Graph

Popular Examples

integral of (30)/((x+1)(x^2+9)^2)

\int \frac{30}{( x + 1 ) ( x ^{2} + 9 ) ^{2}} d x

limit as x approaches 1 of 3x^2+3x-1

x \to 1 lim (3 x^{2} + 3 x - 1)

derivative of (\sqrt[3]{x}/({f)(x)})

\frac{d}{d x} (\frac{3 x}{f ( x )})

limit as x approaches 1+of x^{1/(x-1)}

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

implicit (dy)/(dx),xy=7

im pl i c i t \frac{d y}{d x}, x y = 7

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=5yx ?
The solution for (dy)/(dx)=5yx is y=e^{(5x^2)/2+c_{1}}