What is the solution for y^'=24.5-(7y)/((280-2x)) ?

The solution for y^'=24.5-(7y)/((280-2x)) is y=4.9(-2x+280)+c_{1}(280-2x)^{7/2}

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y^'=24.5-(7y)/((280-2x))

y^{^{'}} = 24.5 - \frac{7 y}{( 280 - 2 x )}

y = 4.9 (- 2 x + 280) + c_{1} (280 - 2 x)^{\frac{7}{2}}

Solution steps

y^{'} (x) = 24.5 - \frac{7 y}{( 280 - 2 x )}

Solve linear ODE:

y = 4.9 (- 2 x + 280) + c_{1} (280 - 2 x)^{\frac{7}{2}}

y = 4.9 (- 2 x + 280) + c_{1} (280 - 2 x)^{\frac{7}{2}}

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What is the solution for y^'=24.5-(7y)/((280-2x)) ?
The solution for y^'=24.5-(7y)/((280-2x)) is y=4.9(-2x+280)+c_{1}(280-2x)^{7/2}