(1 point) A Bernouli differential equation is one of the form dy P(z) Q(z)y\" Ob

Question

(1 point) A Bernouli differential equation is one of the form dy P(z) Q(z)y" Observe that, if n 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution yi transforms the Bernouri equation into the linear equation du (1 Consider the initial value problem zy y (a) This differential equation can be written in the form (e) with P(a) Q(z) and (b) The substitution u will transform it into the linear equation du (c) Using the substitution in part (b), we rewrite the initial condition in terms of and u: (1) (d) Now solve the linear equation in part (b), and find the solution that satisfies the initial condition in part (c). (e) Finally, solve for y.

Explanation / Answer

(C)

Since in the part (b) we made a substitution u =y-1

or u=1/y

so u(x)= 1/y(x)

hence u(1) = 1/y(1)

or u(1)= 1/6 .

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.