Suppose the equation y" + p(t)y' +q(t)y = f(t) is non-homogenous, has a particular solution yp(t) = sin(t), and thatthe solution of the complementary equation isYe(t) = cit + C2e¯t. Which of the following is a solution of thefollowing IVP?y" + p(t)y' + q(t)y = f(t), y(0) = 0, y'(0) = 0O y = sin(t) +1O y = sin(t) – tO y = t+et + sin(t)O y =t+et +t sin(t)O y = cos(t) – 1O y = 1 – e-t + cos(t)O y = cos(t) +t

Suppose the equation y" + p(t)y' + q(t)y= f(t) is non- homogenous, has a particular solution y,(t) = sin(t), and that the solution of the complementary equation is Yc(t) = cit + C2e¯. Which of the following is a solution of the following IVP? y" + p(t)y' + q(t)y = f(t), y(0) = 0, y'(0) = 0 O y = sin(t) +1 O y = sin(t) – t O y = t+e-t + sin(t) O y = t+et +t sin(t) O y = cos(t) – 1 O y = 1 – e-t + cos(t) O y = cos(t)+t

Suppose the equation y" + p(t)y' + q(t)y= f(t) is non- homogenous, has a particular solution y,(t) = sin(t), and that the solution of the complementary equation is Yc(t) = cit + C2e¯. Which of the following is a solution of the following IVP? y" + p(t)y' + q(t)y = f(t), y(0) = 0, y'(0) = 0 O y = sin(t) +1 O y = sin(t) – t O y = t+e-t + sin(t) O y = t+et +t sin(t) O y = cos(t) – 1 O y = 1 – e-t + cos(t) O y = cos(t)+t

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

solve the nonhomogenous equation y''' - 6y' = -cos(x)
Find the general solution of the equation = y" - 4y + 3y = sin(x)e²*
6. Find the general solution of (D²+D)y=sinx. Ans. y=c1+ Cze* - (1/2)sinx - (1/2)cosx
1. Linearize the following equations: (a) f(x) = x¹/3 + cos(x) around xo = π/2. (b) g(x) = -3x³ + sin(4x2) around xo = 2.
What is the general solution to y''+y=0. Show the solution.
Use p(x) = In(x² + x + 7) to answer the questions below. (a) Find p'(x) - (b) Find the equation of the tangent line to p(x) at x = 0. Use y as the dependent variable. (c) If the equation of the tangent line produces an underestimate for values of p(x) near x = 0, which of the following must be true near x=0? Op'(x) is decreasing and p "(x) is positive Op'(x) is decreasing and p "(x) is negative Op'(x) is increasing and p "(x) is positive Op'(x) is increasing and p "(x) is negative
3) Verify that y = sin(lnx) is a solution to a'y" + xy + y = 0.
Find a fundamental set of solution of 4 x² sin(x) y" - 4x(x cos(x) + sin(x)) y' + (2x cos(x) + 3 sin(x)) y = 0; where y₁ = √x is a solution of the complementary equation.
b) FIND solution of the following ODES: 0571 ii) y' = y(0) = , 6ey-2x'
Find General Solution of y" + y" = 0.
(e2y - y cos xy) dx + (2x e²y - x cos xy + 2y)dy = 0 is an exact equation. True False
Determine the solution by the method of undetermined coefficients.y''+4=cos(2x)