What is the solution for (x+1)(dy)/(dx)+y=ln(x),y(1)=10 ?

The solution for (x+1)(dy)/(dx)+y=ln(x),y(1)=10 is y=(xln(x))/(x+1)-x/(x+1)+(21)/(x+1)

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(x+1)(dy)/(dx)+y=ln(x),y(1)=10

(x + 1) \frac{d y}{d x} + y = ln (x), y (1) = 10

y = \frac{x ln ( x )}{x + 1} - \frac{x}{x + 1} + \frac{21}{x + 1}

Solution steps

(x + 1) \frac{d y}{d x} + y = ln (x)

Solve linear ODE:

y = \frac{x ln ( x )}{x + 1} - \frac{x}{x + 1} + \frac{21}{x + 1}

y = \frac{x ln ( x )}{x + 1} - \frac{x}{x + 1} + \frac{21}{x + 1}

What is the solution for (x+1)(dy)/(dx)+y=ln(x),y(1)=10 ?
The solution for (x+1)(dy)/(dx)+y=ln(x),y(1)=10 is y=(xln(x))/(x+1)-x/(x+1)+(21)/(x+1)