Question: Solve the initial-value problem. y = 2(10 - y), y(0) = 1

Solve the initial-value problem.

y′ = 2(10 - y), y(0) = 1

Step by Step Solution

★★★★★

3.37 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

y 210y y0 1 y 202y y 2y 20 at 2 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Applied Calculus Questions!

Q:

The use of mathematical methods to study the spread of contagious diseases goes back at least to some work by Daniel Bernoulli in 1760 on smallpox. In more recent years many mathematical models have...

Q:

Solve the initial value problem y = y = 7xy + xy; y(0) = 2

Q:

Solve the initial value problem for the RLC circuit in Fig. 61 with the given data, assuming zero initial current and charge. Graph or sketch the solution. Show the details of your work. R = 18 , L =...

Q:

help with calc questions Solve the initial-value problem. dy 2 for x 2 1 with y(4) = 4 dx X The solution to the initial-value problem is y = for x 2 1.Solve the initial-value problem. dN t+4 , for t2...

Q:

Solve the given initial-value problem. X' = -1 -2 4 X + X(0) = WN 3 4 4 X(t) =Consider the following initial-value problem. \"( '2)\" (5)! W 43) 3 4 5 6 Find the eigenvalues of the coefficient matrix...

Q:

Solve the given initial-value problem. X' = -1 -2 4 X + X(0) = WN 3 4 4 X(t) =Consider the following initial-value problem. \"( '2)\" (5)! W 43) 3 4 5 6 Find the eigenvalues of the coefficient matrix...

Q:

PS6: Problem 14 Previous Problem Problem List Next Problem (1 point) Which of the following are separable differential equations? DA. dy = (3:+2y) dy B. di = sin(cy) UC. dy =cty D. y In(I) dy di I...

Q:

4. Solve the initial-value problem dy 14x + 10 y(1) = 0 dx T5. Find an equation of the curve that satisfies the given conditions: At each point (x,y) on the curve, the slope is sina + c', and the...

Q:

24. Consider the linear system dY 2 0 Y. dt (a) Show that the two functions e2 Y1 (1) = and Yz(1) = e2 are solutions to the differential equation. (b) Solve the initial-value problem dY 2 0 dt Y,...

Q:

16. Solve the initial-value problem associated with the exact ODE. (3y]eazy - 1) + (2yessy + 3ryley) dy = 0 y(0) = 1 A. yeary + x3 = 1. B. yes-1= 1. C. pledry + x = 1. D. yeley - x] = 1. E. yedry -...

Q:

Create an amortization schedule for only the first 6 months of owning your own home in #8. How much in principal has been "paid down" in total over the first 6 months? How much in interest have you...

Q:

Ken Marsden began his business, "Marsden Consulting Pty Ltd", in the 2014 tax year, after being made redundant from his management role. He has successfully built up his business helping new and...

Q:

The following data were collected on nonconformances for a period of 10 days.

Q:

23. Given a virtual memory system with a TLB, a cache, and a page table, assume the following: A TLB hit requires 5ns. A cache hit requires 12ns. A memory reference requires 25ns. A disk...

Q:

An educator wants to evaluate four different methods aimed at reducing the time children spend off task in the classroom. To test these methods, she implements one method in each of four similar...

Q:

Peng and Chen (2014) evaluated effect size estimates for various tests. In their paper, they stated that The [two] popular effect size indices were found to be . . . Cohens d, and 2 . Which effect...

Q:

A within-subjects ANOVA is computed when the same or different participants are observed in each group?

Q:

LeBron, Dennis, and Susan formed the Bar T LLC at the beginning of the current year. All of its members have calendar year ends. LeBron and Dennis each contributed $ 2 0 0 , 0 0 0 and Susan...

Q:

The following information applies to the questions displayed below) Pearl E. White Orthodontist specializes in correcting misaligned teeth. During 2018, Pearl provides services on account of...

Q:

The Walton Toy Company manufactures a line of dolls and a sewing kit. Demand for the company's products is increasing, and management requests assistance from you in determining an economical sales...