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Popular >

xy^'+y=e^x,y(1)=1

Solution

x y^{^{'}} + y = e^{x}, y (1) = 1

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

slope ofintercept (3,6),(5,-8)slope intercept

(3, 6), (5, - 8)

(\partial)/(\partial x)(ln(x+t^2))

\frac{\partial}{\partial x} (ln (x + t^{2}))

derivative of sqrt(x^2-10x+4)derivative of

x^{2} - 10 x + 4

(\partial)/(\partial y)(1/(x+2y))

\frac{\partial}{\partial y} (\frac{1}{x + 2 y})

integral from-2 to-1 of xf(x^2+1)

\int_{- 2}^{- 1} x f (x^{2} + 1) d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'+y=e^x,y(1)=1 ?
The solution for xy^'+y=e^x,y(1)=1 is y=(e^x)/x+(1-e)/x