Question: Solve the differential equation dy - 4y = 2e3* + sin (x). dx2

Solve the differential equation

d²y - 4y = 2e3* + sin (x). dx2

dy - 4y = 2e3* + sin (x). dx2

Step by Step Solution

★★★★★

3.31 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

This is an inhomogeneous equation and the complementary equation is Tak... 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 Mathematics Physical Chemistry Questions!

Q:

Solve the pure-time differential equation starting from the initial condition p(1) = 1, find p(2), and add the curve to your graph. The above exercise compare the behavior of two similar-looking...

Q:

(a) Explain how to solve the inhomogeneous ordinary differential equation du/dt = Au + b dt when b is a constant vector belonging to mg A. Look at v(t) = u(t) - u* where u* is an equilibrium...

Q:

Find an expression for the initial velocity.

Q:

Solve the equation 2x^2 y" - 2xy' + 20 = 0. Solve the differential equation y" - 4y' + 3y = e^3x (x + 1) Solve the equation x d^2y/ dx^2 = 2 [(dy/dx)^2 - dy dx] .

Q:

10. Find the condition that the line lx +my+ n = 0 may be a normal to the ellipse x y2 1 a 62 11. Show that the pair of tangents drawn from the center of a hyperbola are its asymptotes. 12. Solve the...

Q:

alues 1-10: Use the initial value to find the particular solution to the differential equation. dy 1. = 3 sin x and y = 2 when x = 0 dx dy 2. = 2ex - cos x and y = 3 when x = 0 dx du 3. = 7x6 - 3x2 +...

Q:

Please solve this problem Solve the differential equation y"-4y'+ 4y =x+e x + sin 2x.

Q:

1-10: Use the initial value to find the particular solution to the differential equation. dy 1. = 3 sin x and y = 2 when c = 0 dy 2. = 2ez - cost and y = 3 when

Q:

ed Scientific alculator. You may not need it. Description 12. DETAILS Find the general solution of the given differential equation. dy = 4y dx y( x ) = Give the largest interval over which the...

Q:

In Exercises use integration to find a general solution of the differential equation. dy dx 2 sin x

Q:

8. In 2019, Fragile Express Delivery spent $28.9 million on capital expenditures, experienced a decrease in net working capital (including cash) equal to $72.8 million, and realized $26 million in...

Q:

Respond to the following topic: Prepare for the Future. Requirements: 1. Extend the discussion by providing additional thoughts or examples. 2. Ask a probing question or challenge something that you...

Q:

( 2 points ) A firm has debt valued at $ 3 million, and $ 0 . 5 million in operating cash with no excess cash. The equity holders will receive dividends of $ 0 . 1 million next year, and this amount...

Q:

5 What the company actually offers the customers.

Q:

Differentiate. y = (10 2 + 7 2)(2 2 )

Q:

Differentiate the function. g() = 4 + 7

Q:

A particle moves according to a law of motion s = f (t), t 0, where t is measured in seconds and s in feet. (a) Find the velocity at time t. (b) What is the velocity after 1 second? (c) When is the...

Q:

What type of software controls the internal operations of the computer's hardware?

Q:

At age fifty-five (55), Hannibal buys a 7-year temporary life annuity of twenty thousand (20000$) per annum to be paid at the end of each year for his retirement. Find a net single premium for...

Q:

i need help with this problem thanks!! Present value concept Answer each of the following questions a. How much money would you have to invest today to accumulate $5,000 after 7 years of the rate of...