The Tough Made Easy The differential equationlooks impossible to solve analytically, but b...

The Tough Made Easy The differential equation

looks impossible to solve analytically, but by treating y as the independent variable and t as the dependent variable, an implicit solution can be found. Carry out this solution. (See the hint for Problem.)

Problem

Switch for Linearity Solve the nonlinear IVP

by reinterpreting it with y as the independent variable and t as the dependent variable. HINT: Use the fact that dy/dt = 1/(dt/dy), where y = y(t) and t = t(y) are inverse functions.