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Popular >

y^'+e^xy=19e^x

Solution

y^{^{'}} + e^{x} y = 19 e^{x}

Solution

y = - e^{- e^{x} - c_{1}} + 19

Solution steps

y^{'} (x) + e^{x} y = 19 e^{x}

Solve separable ODE:

y = - e^{- e^{x} - c_{1}} + 19

y = - e^{- e^{x} - c_{1}} + 19

Popular Examples

(\partial)/(\partial w)((y-w(x+x^2))^2)

\frac{\partial}{\partial w} ((y - w (x + x^{2}))^{2})

limit as x approaches 1/2 of 1/(2x-1)

x \to \frac{1}{2} lim (\frac{1}{2 x - 1})

integral of ((x^3))/(sqrt(x^2+36))

\int \frac{( x ^{3} )}{x ^{2} + 36} d x

x^2(dy)/(dx)= 1/4 x^2+y^2

x^{2} \frac{d y}{d x} = \frac{1}{4} x^{2} + y^{2}

limit as t approaches 0 of e^{-7t}i+(t^2)/(sin^2(t))j+tan(3tk)

t \to 0 lim (e^{- 7 t} i + \frac{t ^{2}}{sin ^{2} ( t )} j + tan (3 t k))

Frequently Asked Questions (FAQ)

What is the solution for y^'+e^xy=19e^x ?
The solution for y^'+e^xy=19e^x is y=-e^{-e^x-c_{1}}+19