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Popular >

(y^')/y =x

Solution

\frac{y ^{^{'}}}{y} = x

Solution

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

Solution steps

\frac{y ^{'} ( x )}{y} = x

Solve separable ODE:

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

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

Popular Examples

tangent of (6x)/(2+x^2)tangent of

\frac{6 x}{2 + x ^{2}}

(\partial)/(\partial y)(e^{2y}sin(-2x))

\frac{\partial}{\partial y} (e^{2 y} sin (- 2 x))

derivative of f(x)=(2x+3)^{11}(4-5x)^9 derivative of

f (x) = (2 x + 3)^{11} (4 - 5 x)^{9}

limit as x approaches 1+of 1

x \to 1 + lim (1)

9/10 x^2dy-18dx=0

\frac{9}{10} x^{2} d y - 18 d x = 0

Frequently Asked Questions (FAQ)

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