Mathematics
Mathematics, 17.07.2019 22:20, jalayshiamartin

Asecond order ivp and its solution are given below. differentiate the solution and then plug initial conditions into the solution and its derivative to generate a system of two linear equations in the two unknowns c_1 and c_2. solve the system for c_1 and c_2. y" - 25y = 0 y(0) = 10 y'(0) = 20 y(x) =20 y(x) = c_1e^5x + c_2 e^-5x

answer
Answers: 3
Show answers

Similar questions

Предмет
Mathematics, 04.07.2019 11:50, GamerGirl15
1point) the solution of a certain differential equation is of the form y(t)=aexp(3t)+bexp(4t), y ( t ) = a exp ⁡ ( 3 t ) + b exp ⁡ ( 4 t ) , where a a and b b are constants. the solution has initial conditions y(0)=3 y ( 0 ) = 3 and y′(0)=3. y ′ ( 0 ) = 3 . find the solution by using the initial conditions to get linear equations for a a and
Answers: 1
continue
Предмет
Mathematics, 15.07.2019 18:20, Kingdcn6261
6. consider the following initial value problem: y 000 − y = 0 , y(0) = 1 , y0 (0) = 0 , y00(0) = 0 . (a) assume there is a solution of the form y(t) = e rt, and plug this back in and solve for r. use this to write the general solution. [hint: the equation r 3 = 1 has 3 distinct solutions over c, called the 3rd roots of unity: r1 = e 0πi/3 = 1, r2 = e 2πi/3 , and r2 = e 4πi/3 .] (b) from here, you could solve the initial value problem by plugging in the initial conditions, but you’ll get a system of three equations with three unknowns, and involving complex numbers. here’s another way: look for a power series solution, y(t) = x∞ n=0 ant n . plug this back into the ode and find the recurrence relation for the coefficients. (c) compute an for n ≤ 10, and once you see the pattern, write down the general solution to the ode as a power series. [hint: it should look familiar! ] (d) write down a basis for the solution space. (e) plug in the initial conditions and find the particular solution to the ivp. (f) solve a similar initial value problem:
Answers: 2
continue
Предмет
Mathematics, 30.07.2019 19:10, chrismcb875
solve using greens theorem: we seek to solve: d^ 2 y/ dx^2 + 4y = 4 sec 2x tan 2x, subject to the initial conditions y(0) = 3 , y'(0) = −4 (a) find the solution to the homogeneous equation with the nonhomogeneous boundary conditions (yh). (b) what is the green’s function for this operator? (c) what is the particular solution (yp)? (d) what is the solution to the initial value problem ((1)& ( (e) what is the largest interval starting at x = 0 for which the solution is valid?
Answers: 3
continue
Предмет
Mathematics, 02.08.2019 17:20, kell22wolf
Gconsider the following b/ivp for the wave equation, defined for 0 ≤ x ≤ 1 and t ≥ 0: utt = c 2uxx, u(0, t) = u(1, t) = 0, u(x, 0) = x(1 − x), ut(x, 0) = 0. (a) briefly describe, and sketch, a physical situation which this models. be sure to explain the effect of both boundary conditions and both initial conditions. (b) assume that u(x, t) = f(x)g(t). find utt and uxx. also, determine the boundary conditions for f(x) from the boundary conditions for u(x, t), and one initial condition for g(t). (the three bc/ics equal to zero will give you these.) (c) plug u = fg back into the pde and divide both sides by c 2 fg, i.e., “separate variables.” briefly justify why this quantity must be a constant. call this constant −λ. write down two odes: one for g(t) with one initial condition, and a sturmlioville problem for f(x). (d) determine f(x), λ, and g(t). (e) using your solution to part (d) and the principle of superposition, find the general solution to this pde. (f) use the last initial condition, u(x, 0) = x(1 − x), to find the particular solution that satisfies the initial and boundary conditions. (g) what is the long-term behavior of this system? give both a mathematical and physical justification.
Answers: 2
continue
Do you know the correct answer?
Asecond order ivp and its solution are given below. differentiate the solution and then plug initial...

Questions in other subjects:

Konu
Social Studies, 05.11.2019 20:31
Asap giving 100 ! which of the following is not true about the code of hammurabi? the laws were based on the principle that the strong should not injure the wea...
Konu
Physics, 05.11.2019 20:31
What information do we still require to accurately model the carbon cycle and predict future impacts on carbon emissions?...
Konu
Physics, 05.11.2019 20:31
Why do the air molecules inside a bicycle tire speed up as the temperature gets warmer?...
Konu
History, 05.11.2019 20:31
How did the fall of the ottoman empire impact southwest asia...
Konu
Law, 05.11.2019 20:31
The government has the right to take private property through the power of eminent domain. true or false...
Konu
Social Studies, 05.11.2019 20:31
The university of florida honors program is a ""community of scholars"" bound together by a shared interest in maximizing the undergraduate experience. why are you drawn to this ty...
Konu
History, 05.11.2019 20:31
Identify the causes and effects of farm and labor organization and unrest in the late 1800s...
Konu
History, 05.11.2019 20:31
How was the new jersey colony more democratic than other colonies choose all that apply...
Konu
Mathematics, 05.11.2019 20:31
If x varies jointly as y and z, and x=8 when y=4 and a=9,find z when x=16 and y=6...
Konu
Social Studies, 05.11.2019 20:31
Governments can increase the consumption of a product that creates positive externalities by...
Other tasks in the category: Mathematics More task
See results (0)