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Popular >

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

Solution

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

Solution

y = ln (x^{2} + c_{1})

Solution steps

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

Solve separable ODE:

y = ln (x^{2} + c_{1})

y = ln (x^{2} + c_{1})

Graph

Popular Examples

integral of 20y

\int 20 y d y

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\frac{d}{d x} (ln (arcsin (2 x)))

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\frac{d}{d x} (\frac{tan ( x )}{cos ( x )})

integral of x^2cos((x^3)/5)

\int x^{2} cos (\frac{x ^{3}}{5}) d x

derivative of 3sec^2(3x)

\frac{d}{d x} (3 sec^{2} (3 x))

Frequently Asked Questions (FAQ)

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