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Popular >

e^yy^'=x^2

Solution

e^{y} y^{^{'}} = x^{2}

Solution

y = ln (\frac{x ^{3}}{3} + c_{1})

Solution steps

e^{y} y^{'} (x) = x^{2}

Solve separable ODE:

y = ln (\frac{x ^{3}}{3} + c_{1})

y = ln (\frac{x ^{3}}{3} + c_{1})

Graph

Popular Examples

integral of sqrt(576-16x^2)

\int 576 - 16 x^{2} d x

(2y^2+2y+4x^2)dx+(2xy+x)dy=0

(2 y^{2} + 2 y + 4 x^{2}) d x + (2 x y + x) d y = 0

slope of 2-3/(x^2),\at x=1 slope

2 - \frac{3}{x ^{2}}, at x = 1

tangent of f(x)= 7/(sqrt(x)),(1,7)tangent of

f (x) = \frac{7}{x}, (1, 7)

limit as x approaches 0+of x-ln(x)

x \to 0 + lim (x - ln (x))

Frequently Asked Questions (FAQ)

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