What is the solution for (dy)/(dx)=sqrt(y^2-9),y(5)=3 ?

The solution for (dy)/(dx)=sqrt(y^2-9),y(5)=3 is y= 3/(2e^{x-5)}+(3e^{x-5})/2

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(dy)/(dx)=sqrt(y^2-9),y(5)=3

\frac{d y}{d x} = y^{2} - 9, y (5) = 3

y = \frac{3}{2 e ^{x - 5}} + \frac{3 e ^{x - 5}}{2}

Solution steps

\frac{d y}{d x} = y^{2} - 9

Solve separable ODE:

y = \frac{3}{2 e ^{x - 5}} + \frac{3 e ^{x - 5}}{2}

y = \frac{3}{2 e ^{x - 5}} + \frac{3 e ^{x - 5}}{2}

\frac{\partial}{\partial x} (u)

y^{^{''}} - 2 y^{^{'}} + 26 y = 0

\int x^{8} 4 x^{3} + 4 d x

\frac{\partial}{\partial x} (3 x^{2} y^{4} + 2)

\int e^{y^{3}} d y

What is the solution for (dy)/(dx)=sqrt(y^2-9),y(5)=3 ?
The solution for (dy)/(dx)=sqrt(y^2-9),y(5)=3 is y= 3/(2e^{x-5)}+(3e^{x-5})/2