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Popular >

100x+(dy)/(dx)=xy

Solution

100 x + \frac{d y}{d x} = x y

Solution

y = e^{\frac{x ^{2}}{2} + c_{1}} + 100

Solution steps

100 x + \frac{d y}{d x} = x y

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + c_{1}} + 100

y = e^{\frac{x ^{2}}{2} + c_{1}} + 100

Popular Examples

limit as t approaches 10 of (t^2+3t-130)/(t^2-100)

t \to 10 lim (\frac{t ^{2} + 3 t - 130}{t ^{2} - 100})

derivative of (e^{-x}/(1+x^2))

\frac{d}{d x} (\frac{e ^{- x}}{1 + x ^{2}})

integral of (sec(x))/((sec(x)-tan(x)))

\int \frac{sec ( x )}{( sec ( x ) - tan ( x ) )} d x

y^{^{'}} + 2 x = 0

(\partial)/(\partial t)(s^2t^2)

\frac{\partial}{\partial t} (s^{2} t^{2})

Frequently Asked Questions (FAQ)

What is the solution for 100x+(dy)/(dx)=xy ?
The solution for 100x+(dy)/(dx)=xy is y=e^{(x^2)/2+c_{1}}+100