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Popular >

e^yy^'=7x^2

Solution

e^{y} y^{^{'}} = 7 x^{2}

Solution

y = ln (\frac{7 x ^{3}}{3} + c_{1})

Solution steps

e^{y} y^{'} (x) = 7 x^{2}

Solve separable ODE:

y = ln (\frac{7 x ^{3}}{3} + c_{1})

y = ln (\frac{7 x ^{3}}{3} + c_{1})

Popular Examples

((dy)/(dx))+2xy^2=0

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

y^'-(xsin(x))/(3y^2)=0

y^{^{'}} - \frac{x sin ( x )}{3 y ^{2}} = 0

(dy)/(dx)y=(3-x^3)

\frac{d y}{d x} y = (3 - x^{3})

(dy)/(dx)=e^{x+y}+e^{x-y}

\frac{d y}{d x} = e^{x + y} + e^{x - y}

y^'-y/((ln(y))^2)=0

y^{^{'}} - \frac{y}{( ln ( y ) ) ^{2}} = 0

Frequently Asked Questions (FAQ)

What is the solution for e^yy^'=7x^2 ?
The solution for e^yy^'=7x^2 is y=ln((7x^3)/3+c_{1})