What is the solution for (dx)/(dt)-0.04x=5000,x(0)=18000 ?

The solution for (dx)/(dt)-0.04x=5000,x(0)=18000 is x=143000e^{t/(25)}-125000

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(dx)/(dt)-0.04x=5000,x(0)=18000

\frac{d x}{d t} - 0.04 x = 5000, x (0) = 18000

x = 143000 e^{\frac{t}{25}} - 125000

Solution steps

\frac{d x}{d t} - 0.04 x = 5000

Solve separable ODE:

x = 143000 e^{\frac{t}{25}} - 125000

x = 143000 e^{\frac{t}{25}} - 125000

y^{^{'}} = \frac{y ^{2}}{x ^{2} y + x y}

\frac{d y}{d x} y = x (2 x + 1)^{\frac{1}{3}}

\frac{d y}{d x} = \frac{ln ( 2 )}{7} y - 80000

\frac{d y}{d x} = 3 \cdot \frac{y ^{5}}{x ^{4}}

y^{^{'}} = - \frac{37 t}{y}

What is the solution for (dx)/(dt)-0.04x=5000,x(0)=18000 ?
The solution for (dx)/(dt)-0.04x=5000,x(0)=18000 is x=143000e^{t/(25)}-125000