5. Consider Bernoulli's Equation 5!\" + similar = fix}??- When n. 3'- [L 1, this equation is nonlinear1 non-separable, non-homogeneous, and not exact. Nor can we nd an integrating factor of a single 1variable [check this!) {a} Use the substitution: u = y1_". Invert this substitution to End 3; in terms of n. Then take the derivative to write 3;" in terms of u. and u'. {b} Plug these into the diEeIential equation for y to get a linear differential equation for 1:. Put into standard form. {1:} Use parts {a} and {b} to nd a substitution.1 u. that makes the equation, 5:" - y =E'y\"~ linear. Then solve the equation for u to nd the general solution for y