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I am trying to solve a real-world problem, and I have modeled it with the following equation:

[tex]\frac{dS}{dt}-3\left (\frac{150-S}{100-t} \right )+\frac{2S}{100+t}=0[/tex]

What kind of differential equation is that? Is it solvable analytically ?

Maple tells me it is linear, but I don't see how...

[tex]\frac{dS}{dt}-3\left (\frac{150-S}{100-t} \right )+\frac{2S}{100+t}=0[/tex]

What kind of differential equation is that? Is it solvable analytically ?

Maple tells me it is linear, but I don't see how...

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