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Popular >

y^'=5y-xy

Solution

y^{^{'}} = 5 y - x y

Solution

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

Solution steps

y^{'} (x) = 5 y - x y

Solve separable ODE:

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

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

Popular Examples

y^{''}+8y^'+25y=-208*sin(3x)

y^{^{''}} + 8 y^{^{'}} + 25 y = - 208 \cdot sin (3 x)

limit as x approaches 3 of 3-|x-3|

x \to 3 lim (3 - ∣ x - 3 ∣)

integral of (5(x-3)^2)/(xsqrt(x))

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

derivative of f(x)= 3/5 x^{15}derivative of

f (x) = \frac{3}{5} x^{15}

integral from 0 to 2 of y/(sqrt(25-y^2))

\int_{0}^{2} \frac{y}{25 - y ^{2}} d y

Frequently Asked Questions (FAQ)

What is the solution for y^'=5y-xy ?
The solution for y^'=5y-xy is y=e^{5x-(x^2)/2+c_{1}}