What is the solution for (dx)/(dy)=-1/7 sqrt(x) ?

The solution for (dx)/(dy)=-1/7 sqrt(x) is x=(y^2)/(196)+(c_{1}y)/(98)+(c_{1}^2)/(196)

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(dx)/(dy)=-1/7 sqrt(x)

\frac{d x}{d y} = - \frac{1}{7} x

x = \frac{y ^{2}}{196} + \frac{c _{1} y}{98} + \frac{c _{1}^{2}}{196}

Solution steps

\frac{d x}{d y} = - \frac{1}{7} x

Solve separable ODE:

x = \frac{y ^{2}}{196} + \frac{c _{1} y}{98} + \frac{c _{1}^{2}}{196}

x = \frac{y ^{2}}{196} + \frac{c _{1} y}{98} + \frac{c _{1}^{2}}{196}

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What is the solution for (dx)/(dy)=-1/7 sqrt(x) ?
The solution for (dx)/(dy)=-1/7 sqrt(x) is x=(y^2)/(196)+(c_{1}y)/(98)+(c_{1}^2)/(196)