Use the method for solving Bernoulli equations to solve the following differential equation. dy + 5y = e*y 8 xp Ignoring lost solutions, if any, the general solution is y = (Type an expression using x as the variable.)

The deceleration of a certain tugboat in the water is directly proportional to the cube of the speed of the tug at any time t. The velocity of the tug is initially 5 m/s? and reduces to 3 m/s? after 2s. Show that the equation of motion of the tug is 225 V² = by using differential equations. 8t+9

Solve Q2.

Solve the following differential equation Bernoulli Equations: 1. (x2 + у?)dx —- хуdy %3D0 dy 2. x dx + 6y = 3xy Зхуз