Question: Show that satisfies the equation y = e(A cost + B sin t) + 2 sin 2t - cos 2t

Show that

y = e(A cost + B sin t) + 2 sin 2t - cos 2t

satisfies the equation

dy + 2y + 2y = 10 cos 2t dt dt

y = e(A cost + B sin t) + 2 sin 2t - cos 2t

Step by Step Solution

★★★★★

3.50 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Differentiating y twice with resp... 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 Modern Engineering Mathematics Questions!

Q:

Show that Equation 15.32 is a solution of Equation 15.31 provided that b2

Q:

Verify Equation (16.20). Use to show that and solve for Y- (Y-

Q:

Show that Equation 14.31 is valid when a receiver approaches a fixed light source with speed v.

Q:

In Exercises 1 - 16, plot the point given in polar coordinates and then give three different expressions for the point such that (a) r 0 and 0 (c) r > 0 and 2 9. (20, 3) In...

Q:

The question : Find Suppos C = 2.5 x 10-4, Q(0) = 0, and E(t) = 100 cos 120t. (a) Find Q(t) and I(t). (b) What is the amplitude of the the steady-state current? on 1 10. An emf of voltage E(t) = Eo...

Q:

Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. 2 A= Choose the correct fundamental matrix below. O A. X(1) = cos 2t sin 2t cos 2t + sin 2t sin 2t - cos 2t 2t e O O B....

Q:

1. Using Descrates' rule of signs, how many real roots does f(x)=8x^3 + x^2 -7x - 13 contain? a. No positive real roots, no negative real roots b. two or zero positive real roots, one or zero...

Q:

The transient solution of the vibrating system y"+2y'+2y = cos 2t, y(0) = 0, y/(0) = 3 %3D is: (a) y = Ciet cos t+ Ce sin t (b) y = Chet cos t+C2et sin - cos 2t + sin 2t (c) y = - cos 2t + sin 2t (d)...

Q:

Pre-Calculus 12 Unit 6 Send-In Assignment On-Line Course SEND - IN ASSIGNMENT UNIT 6 TRIGONOMETRIC EQUATIONS & IDENTITIES Name: _________________________________________...

Q:

Tutorial 4: Laplace Transform 1. Using the definition of the Laplace transform. obtain the Laplace transforms of the following functions and state the region of convergence in each case. (a) t2...

Q:

A farmer working on a piece of machinery gets his shirtsleeve caught in a moving piece of the equipment. His shirt is sliced, and a sharp blade covered in mud slices through his upper arm. He...

Q:

Let X be normally distributed with mean = 2.5 and standard deviation = 2> a. Find P(X>7.6)> b. Find P(7.4 X 10.6)> c. Find x such that P(X>x) = 0.025> d. Find x such that P(x X 2.5) = 0.4943>

Q:

6. A statistical process control chart gives the statistical upper and lower___________ _

Q:

17. What are the major decisions involved in designing observational forms?

Q:

The prismatic bar has a cross-sectional area A. If it is subjected to a distributed axial loading that increases linearly from w = 0 at x = 0 to w = w 0 at x = a, and then decreases linearly to w = 0...

Q:

The prismatic bar has a cross-sectional area A. If it is subjected to a distributed axial loading that increases linearly from w = 0 at x = 0 to w = w 0 at x = a, and then decreases linearly to w = 0...

Q:

The bars of the truss each have a cross-sectional area of 1.25 in 2 . Determine the average normal stress in members AB, BD, and CE due to the loading P = 6 kip. State whether the stress is tensile...

Q:

Use the following information to calculate the net cash provided (inflow) or used by (outflow) from financing activities for the Lulu Corporation: (a) Net income, $12,000 (b) Sold common stock for...

Q:

A house costs $144,000. It is to be paid off in exactly ten years, with monthly payments of $1,679.39. What is the APR of this loan? A. 8.1% B. 7.1% C. 6.1% D. 5.1%

Q:

A bond's duration is not a function of the bond's