1. Find the particular solution of the recurrence fn = 5fn-1 - 6fn-2 + n + 5.
2. Give the number of solutions of x + y + z = 30, for 4<= x <= 14, 3 <= y <= 17, 10 <= z <= 25.
Please explain all the steps and explanations Thank you!
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1. Find the particular solution of the recurrence fn = 5fn-1 - 6fn-2 + n + 5. 2. Give the number of solutions of x + y +...
Find the particular solution of the nonhomogeneous recurrence equation: fn = 3fn-1 + 10fn-2 +2*3^n Please explain all the steps. Also if there is algebra involved please explain that as well thanks. The problem is fixed better.
Let f(x) be the recurrence relation defined by fn=fn-12+nfn-2 for n≥2 f0=3 f1=-1 Find f(3)
(Find the general solution of the following systems of ODES n(32 0 1 3. y (t) A y(t), Aj 0/ 4 4. y (t)A y(t)+g(t) (0-1. qlt) Aij 2cost - 8sint/ 4 Please show all steps with explanations. Thank you
(Find the general solution of the following systems of ODES n(32
0 1 3. y (t) A y(t), Aj 0/ 4
4. y (t)A y(t)+g(t) (0-1. qlt) Aij 2cost - 8sint/ 4
Please show all steps with explanations. Thank you
please give the correct answer with explanations, thank you
Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
(1) Sok power series solution of the forma y(z)-Σ-oanz" to the differential equation: (a) (3 pts) Find recurrence relations for the coefficents, an (b) (4 pts) Use the recurrence relation to give the first three, n-zero terms of the power series solution to the initial value problem: y'-2xy = z, y(0) = 2 (c) (1 pt) Identify the solution as a common function (in closed form).
(1) Sok power series solution of the forma y(z)-Σ-oanz" to the differential equation: (a)...
5. Find the particular solution of the equation, S'(x) = 63% conditions f(1) = 2. that satisfies the 6. Find y = f(x), if f "(x) = 4x +3, f(1)=5, f(0)= -6 7. Evaluate: (4x + 3x)dx. Give a numeric answer/ Simplify. 8. Given: f(x)= e' + F(5)= 148.21, find F(1) 9. A concert hall is filling with people from noon until show time at 3:00 pm. The table below shows the rate of people entering the concert hall (measured...
question 2 part b please with explanations. thank you!
2. Find a particular solution to each nonhomogeneous recurrence (a) an - 5an-1 – 6an-2 = 2" (for n > 2) (b) an – an-1 – 6an-2 = 5.3" (for n > 2) (C) an - An-1 – 6an-2 = n (for n > 2)
2. Find solutions to the values of x, y, and z using the matrix inversion technique discussed in this course. Please show all intermediate steps. x + 2y + 2z=1 2x+y=-2 +22 2x+z=1+2y
Problem 2 1. Let fn(ar) n As the metric take p(x, y) = |x - y. Does lim, fn(x) exist for all E R? If it exists, is the convergence uniform. Justify 2. Consider fn(x) = x2m, x E [0, 1]. Is it true that lim (lim fn(= lim( lim fn(x)) noo x-1 Justify.
a) Find a recurrence relation for an - number of n digit quarternary sequences (using digts from (0, 1,2, 3]) with at least one 1 and the first 1 occurring before the first O.( It is possible that there is no 0 in the sequence). Hint: Consider the cases: the sequence starts with a 1 or with a 2 or with a 3. Note that it cannot start with a O. Explain all steps
a) Find a recurrence relation for...