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Popular >

xy^'+y=e^x,y(1)=8

Solution

x y^{^{'}} + y = e^{x}, y (1) = 8

Solution

y = \frac{e ^{x}}{x} + \frac{8 - e}{x}

Solution steps

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

Solve linear ODE:

y = \frac{e ^{x}}{x} + \frac{8 - e}{x}

y = \frac{e ^{x}}{x} + \frac{8 - e}{x}

Popular Examples

derivative of cos^2(5pix)derivative of

cos^{2} (5 π x)

derivative of (5ln(4x))/(2-3x)derivative of

\frac{5 ln ( 4 x )}{2 - 3 x}

integral of 4/5-8/x

\int \frac{4}{5} - \frac{8}{x} d x

integral of pi/(200)sin((pix)/(100))

\int \frac{π}{200} sin (\frac{π x}{100}) d x

integral of x^{1/6}

\int x^{\frac{1}{6}} d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'+y=e^x,y(1)=8 ?
The solution for xy^'+y=e^x,y(1)=8 is y=(e^x)/x+(8-e)/x