Question: Help to solve the ODE and plot solutions Consider the ODE y' + fly = 93- (i) Let u = y'g. Show that the ODE

Help to solve the ODE and plot solutions

Consider the ODE y' + fly = 93- (i) Let u = y'g. Show that the ODE can be transformed to u' 2:1711}, = 2. (ii) Find the general solution y(:r) to the original ODE. (iii) Show there is a singular solution of the form y3(:r:) : 033'\" for some constants m and C' 75 0. (Note that this is not the equilibrium solution y = 0.)

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