What is the solution for x(dy)/(dx)+y=e^x,y(1)=2 ?

The solution for x(dy)/(dx)+y=e^x,y(1)=2 is y=(e^x)/x+(2-e)/x

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

x \frac{d y}{d x} + y = e^{x}, y (1) = 2

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

Solution steps

x \frac{d y}{d x} + y = e^{x}

Solve linear ODE:

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

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

\int 9 x^{2} sec (x^{3}) tan (x^{3}) d x

sec (cos (x))

\int 2 x^{2} + x d x

\frac{d}{d x} (11 arctan (x))

x \to 5 + lim (\frac{( x + 1 )}{x - 5})

What is the solution for x(dy)/(dx)+y=e^x,y(1)=2 ?
The solution for x(dy)/(dx)+y=e^x,y(1)=2 is y=(e^x)/x+(2-e)/x