What is the solution for ((dy))/((dx))=((1))/((4)y) ?

The solution for ((dy))/((dx))=((1))/((4)y) is y=sqrt((x+c_{1))/2},y=-sqrt((x+c_{1))/2}

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((dy))/((dx))=((1))/((4)y)

\frac{( d y )}{( d x )} = \frac{( 1 )}{( 4 ) y}

y = \frac{x + c _{1}}{2}, y = - \frac{x + c _{1}}{2}

Solution steps

\frac{( d y )}{( d x )} = \frac{( 1 )}{( 4 ) y}

Solve separable ODE:

y = \frac{x + c _{1}}{2}, y = - \frac{x + c _{1}}{2}

y = \frac{x + c _{1}}{2}, y = - \frac{x + c _{1}}{2}

What is the solution for ((dy))/((dx))=((1))/((4)y) ?
The solution for ((dy))/((dx))=((1))/((4)y) is y=sqrt((x+c_{1))/2},y=-sqrt((x+c_{1))/2}