Please answer correctly, Thanks, points goes to correct answer Consider the Bern
ID: 2971003 • Letter: P
Question
Please answer correctly, Thanks, points goes to correct answer
Consider the Bernoulli ODE For this Bernoulli problem we have n = Next we introduce the substitution u = y1-n = and the problem is transformed into a First Order Linear ODE with independent variable x and which can be written in the form where P(x) = and Q(x) = To solve this First Order Linear equation we find an integrating factor in the form Multiplying the linear equation by the integrating factor, the left hand side of the equation becomes an exact derivative. Integrating both sides we have After simplifying and converting back to the original x, y variables we find the general solution can be written as Note: You can earn partial credit on this problem.Explanation / Answer
answers are repective ;
n = 2;
u = y^-1 = 1/y;
P(x) = (1+1/x) ; Q(x) = -1 ;
x*exp(x);
(-x*exp(x))dx + C = -(x-1)exp(x) + C;
x*exp(x)/y +(x-1)exp(x) = C;