What is the solution for (dy)/(dx)y=x+5 ?

The solution for (dy)/(dx)y=x+5 is y=sqrt(x^2+10x+c_{1)},y=-sqrt(x^2+10x+c_{1)}

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(dy)/(dx)y=x+5

\frac{d y}{d x} y = x + 5

y = x^{2} + 10 x + c_{1}, y = - x^{2} + 10 x + c_{1}

Solution steps

\frac{d y}{d x} y = x + 5

Solve separable ODE:

y = x^{2} + 10 x + c_{1}, y = - x^{2} + 10 x + c_{1}

y = x^{2} + 10 x + c_{1}, y = - x^{2} + 10 x + c_{1}

(\frac{( 5 y )}{( x ) - 24 x ^{(2)}}) d x + 5 d y = 0

\frac{d}{d x} ((2 y + 3)^{4}) = 5 x^{3} - 3 x

\frac{d y}{d x} - 11 x^{3} y = 0

\frac{d x}{d t} = x \cdot sin (t)

x \frac{d y}{d x} = y^{2} - 1

What is the solution for (dy)/(dx)y=x+5 ?
The solution for (dy)/(dx)y=x+5 is y=sqrt(x^2+10x+c_{1)},y=-sqrt(x^2+10x+c_{1)}