What is the solution for Du=50-30/100 1/500 ?

The solution for Du=50-30/100 1/500 is u(x)=c_{1}+(249997x)/(5000)

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Du=50-30/100 1/500

D u = 50 - \frac{30}{100} \frac{1}{500}

u (x) = c_{1} + \frac{249997 x}{5000}

Solution steps

D u (x) = 50 - \frac{30}{100} \frac{1}{500}

Solve linear ODE:

u (x) = c_{1} + \frac{249997 x}{5000}

u (x) = c_{1} + \frac{249997 x}{5000}

(d^{2} - 1) y = e^{- x} (2 sin (x) + 4 cos (x))

y^{^{''}} + 4 y^{^{'}} + 4 y = \frac{6 e ^{- 2 x}}{x ^{5}}

2 y^{^{''}} + 7 y = - \frac{8}{3} x

y^{^{''}} + y = 5 e^{- 3 x}, y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + 2 y^{^{'}} - 3 y = x^{2}

What is the solution for Du=50-30/100 1/500 ?
The solution for Du=50-30/100 1/500 is u(x)=c_{1}+(249997x)/(5000)