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Ln(1-2v) = -2t solve it and also explain how it can be |
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Answer» Steps to Solve HOMOGENEOUS Differential EquationYou must have LEARNED to solve the differential equations in previous sections. To solve a homogeneous differential equation FOLLOWING steps are followed:-Given differential equation of the type dydx=F(x,y)=g(yx)Step 1- Substitute y = vx in the given differential equation.Step 2 – Differentiating, we get, dydx=v+xdvdx. Now substitute the VALUE of and y in the given differential equation, we getv+xdvdx=g(v)⇒xdvdx=g(v)−vStep 3 – Separating the variables, we getdvg(v)−v=dxxStep 4 – Integrating both side of equation, we have∫dvg(v)−vdv=∫dxx+CStep 5 – After integration we replace v=y/xS |
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