A) Find the solution of the given 2nd order Homogenous ODE using undetermined coefficient 1) y"-10y, + 25y-30x + 3 4 3) y"- 16y - 2e4x 4) y" + 2y'ysin x + 3 cos 2x B) Find the solution of the given 2nd order Homogenous ODE using variation parameter 1) y" + y sec θ tan θ 1+e 3) 3y''-6y' + 6y = ex secx x+1 A) Find the solution of the given 2nd order Homogenous ODE using undetermined coefficient...
Question 4 (2.5 points) Verify the identity. Show all work tan y+cot y = sec y CSc y
Find the general solution of the following ODE: y (4) + 8 y" + 16 y = 0 Please show ALL work to get credits.
verify the following 1) tan x+cot y= sin(x+y)/cos x sin y 2) tan 5x + cot 5x = 2 csc 10x
solve all questions please Question 1 The solution to the ODE y' + 3xy=0 is Question 2 The solution of the IVP Ý – 2y=e*, (0) = 2 is Question 3 The solution to the ODE Y'y=2-3y2 is Question 4 The solution to the ODE XY' – y=-xex
pls do all questions. thanx 1. [5 Consider the IVP rty(t) + 2 sin(t)y(t) = tan(t) y(5)=2 Does a unique solution of the IVP exist? Do not solve the IVP but fully justify you answer. What is the IOE? 2. 4 Consider the ODE Using undetermined coefficients, what is an approprite guess for the coefficient (s) in yp but fully justify you answer. ? Do not solve for 3. [10] Solve the IVP. Use any approach you like y(x) 6y'(x)...
(b) (Problem 7.8.19 in textbook, slightly modified) Compute the general solution of the ODE 5 3-2 85 -4 4 33 (Hint: You may verify and exploit the fact that (A I)2 0.) (b) (Problem 7.8.19 in textbook, slightly modified) Compute the general solution of the ODE 5 3-2 85 -4 4 33 (Hint: You may verify and exploit the fact that (A I)2 0.)
Verify that the equation is an identity. sin (x-y) tan x- tany sin (x+y) tanx + tany Which of the following statements verifies that the equation is an identity? O A A tan x-tany tanx+ tany sin?(x - y) V1- cos? (x-y) 11 - cos? (x + y) sin(x - y) sin (x+y) O B. sin (x-y) sin cosy - cos x siny sin x- cos y tan x-tany sin (x+y) sin x cos y + cos x siny sin...
Solve the separable ODE y'=y(7.5-5y) for a population growth model, find the general solution for the ODE and check the solutions validity.
Using the information that y = enx is a solution of the following ODE: ry" - 2:0 +1)y + (x + 2)y = 0. Obtain a second solution of the differential equation. Obtain a general solution of the differential equation ry" – 2(x+1)y' + (1 +2)y=e".