In 11 and 12 show that the substitution leads to a Bernoulli equation. Solve this equation (see Section 2.5).

Solution In this question we have to show that the substitution leads to a Bernoulli equation and solve the equation Step 1 Here the equation is given Let ThenSubstituting the value in , we get Hence it is in the form of Bernoulli equation Step 2 Now we have to solve the equation Dividing the whole equation by x, we get => Let Putting the values in we get Step 3Let us find the integrating factor now Multiplying the integrating factor to the equation Integrating both sides But, Step 4 Substituting it back Now let As we know that Integrating both sides Or