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...Ordinary differential equations math b spring final exam solutions a solve the following initial value problem for y t ty e what is solution thisisarst order linearode sowecansolveitbytheintegrating factor method multiplication of ode by integrating r tdt gives integration this equation and imposition condition we have if yy interval dened separable separating variables get ydy dt multiplying result c implies that after solving nd p well dierentiable provided quantity inside square root positive meaning find equilibrium sketch phase line determine stability equilibria you found in how does with behave as are function f or negative hence ow on to right increasing left asymptotically stable unstable omitted then suppose problems according general theorems intervals uniquely express terms justify your answer since never zero continuity coecient functions q g...