Question: Solve the following initial value problems. y'(t) + 3y = 0, y(0) = 6

Solve the following initial value problems.

y'(t) + 3y = 0, y(0) = 6

Step by Step Solution

★★★★★

3.35 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

This equation is separable ... 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 Calculus Early Transcendentals Questions!

Q:

Solve the following initial value problems: (a) (b) 142 =-111 + 112-2uit 1, 113 =-311 i + 112-2113 + 1, ul (0) = 1 112(0) = 0 113(0) = 0 ul = ul-214 142(0) = 0

Q:

Solve the following initial value problems: (a) (b) (c) (d) (e) = 241-112. 1.1 (0) 0 =-112- W2=4ult, cos t, I (0) = 0 u2(0) =1 v(I)1 p=p+q+1, p(0) = 0

Q:

Solve the following initial value problems. In each case, graph the solution and explain what type of motion is represented. (a) (b) (c) (d) ii + 2Su = 3 cos 4, tt (0) = I. 11 (0) = 1 ii +4+40u= 125...

Q:

5. (iv) (v) Solve the following initial value problems using Laplace transformations: y" - y': = cos 2t + cos(2t 12)u(t), y(0) -4, y'(0) = 0. y" + 3y' + 2y = g(t), y(0) = 0, y'(0) = 2 where g(t) = =...

Q:

Question 5: Solve the following initial value problems using Laplace transform y " + 3y'+ 2y = g(t) = 10' 1, 0 10. y (0) = 0, y'(0) = 0

Q:

1. Solve the following initial value problems. (a) y" + 4y = 12 + 3et, y(0) =0, y'(0) =2 (b) y" - 2y' ty = tet + 4, y(0)=2, y'(0)=-1 (c) y" + 3y' + 2y = et(+2 + 1) sin(2t) + 3e-t cos(t) + 4et, y(0) =...

Q:

24. Use the Laplace transform to solve the following initial value problems (a) y" + 9y - 10e , y(0) - 0, y' (0) - 0. (b) y" + 3y' + 2.25y - 9t" + 64, y(0) - 1, y'(0) - 31.5, (c) y" + 2y' + 5y - 50t...

Q:

Use the Laplace Transform method to solve the following initial value problems using MATLAB. Then graph the solutions on the interval [0,15]. Also graph the function on the right-hand side of the...

Q:

Use the Laplace Transform method to solve the following initial value problems using MATLAB. Then graph the solutions on the interval [0,15]. In parts (a) and (b), also graph the function on the...

Q:

Can I have some help with this Exercise 1. Solve the following initial value problems and determine the respective intervals of eristence. _sin(1, y(w/2) = 2/m; ( 1) ty' + 2y = 1. Exercise 2. A...

Q:

8. Nonconstant growth stock As companies evolve, certain factors can drive sudden growth. This may lead to a period of nonconstant, or variable, growth. This would cause the company's expected growth...

Q:

Calgary Industries is preparing a budgeted income statement for 2018 and has accumulated the following information. Predicted sales for the year are $740,000 and cost of goods sold is 40% of sales....

Q:

Hassle dash FreeHassle - Free Web is bidding to provide web hosting services for Hotel Lisbon. Hotel Lisbon pays its current provider $ 1 0 comma 1 0 0 $ 1 0 , 1 0 0 per year for hosting its web...

Q:

22. Columbus Shipping Company is negotiating with two banks for a $100,000 loan. Bankcorp of Ohio requires a 20 percent compensating balance, discounts the loan, and wants to be paid back in four...

Q:

Use the Substitution Formula in Theorem 7 to evaluate the integral. -1/2 -1 t sin 1 + ) t dt

Q:

Graph the integrands and use known area formulas to evaluate the integrals. La -1 (1 x) dx

Q:

Graph the integrands and use known area formulas to evaluate the integrals. -1 xp (x-7) of

Q:

k 1: Choose any one hypermarket which is spread across Oman to solve this task. (Total: 50 marks) a. Identify the data requirements for the selected hypermarket. Data requirements can be collected...

Q:

You have just qualified for a mortgage loan of $60,000 with a 10 year amortization period and an ENR of 8.8%. You make monthly payments of $753.58. What will the outstanding balance on the mortgage...

Q:

1 ) Look at the spreadsheet. Zachary Taylor has been working on a project for Truist Financial with information laid out in tab 1 . The project is being prepared to start on January 1 , 2 0 2 4 ....