What is the solution for x(dy)/(dx)+y=2x+1,y(1)=6 ?

The solution for x(dy)/(dx)+y=2x+1,y(1)=6 is y=x+1+4/x

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x(dy)/(dx)+y=2x+1,y(1)=6

x \frac{d y}{d x} + y = 2 x + 1, y (1) = 6

y = x + 1 + \frac{4}{x}

Solution steps

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

Solve linear ODE:

y = x + 1 + \frac{4}{x}

y = x + 1 + \frac{4}{x}

x \to 1 lim (3 \cdot a + x)

\frac{\partial}{\partial y} (10 x z sin (y))

\int \frac{1}{( 121 + x ^{2} ) ^{\frac{3}{2}}} d x

y^{^{'}} = 7 x y

e^{0.75 t} y^{^{'}} + 0.75 y e^{0.75 t} = - 0.00003 e^{0.75 t}

What is the solution for x(dy)/(dx)+y=2x+1,y(1)=6 ?
The solution for x(dy)/(dx)+y=2x+1,y(1)=6 is y=x+1+4/x