5. Find the general solution of the following differential equations: (a) 6"-5y y 0 (b) 4y"+12y9y 0 (c)2" 3y 6. Solve the following initial value problems:
y''-3y'-4y=0 has a general solution y=C1e^(4x)+C2e^(-x) find the particular solution if it exists for y(0)=0 & y(1)=2
Find the general solution of the following equation. y"' +3y"-4y' - 12y =0. (Hint: Rational root test)
Question 27 DE y"- 3y'- 4y = 0 has a general solution y = C1 e4x + C2e* Find the particular solution, if exists, with the initial conditions: y(O) = 0 and y(1) = 2. Yp 2e e5--1 (241 – e-") None of them 2e Ур 2e 5-1 etr + e 1- Both of them
Find the general solution of the given second-order differential equation. 27"-3y + 4y = 0 Upload a completed solution of your work as a PDF, JPEG or DOCX file. Upload Choose a File Question 5 Find the general solution for the given second order differential equation. - 64+25 y = 0 Please show all work and upload a file (PDF, JPG, DOCX) of the work and circle your final answer. Upload Choose a File
2. Find the general solution to y(4) -4y" +14y" +44y+25y 0 3. Find the general solution to y" +y-sin r
Q5) Find a general solution. Check your answer by substitution. 4y" – 25y = 0 y" + 36y = 0 y" + 6y' + 8.96y = 0) y" + 2k%y' + k4y = 0 Q6) Solve the IVP. Check that your answer satisfies the ODE as well as the initial conditions. Show the details of your work. y" + 25y = 0, y(0) = 4.6, y'(0) = -1.2 4y" – 4y' – 3y = 0, y(-2) = e, y'(-2) =...
3. Find a particular solution of y" + 3y' + 4y = 28x e2x 3. Find a particular solution of y" + 3y' + 4y = 28x e2x
Solve the initial-value problem. a) y', _ y'-12y = 0, y(0) = 3, y'(0) = 5 b) y"-4y'+3y 9x2 +4, y(0)-6, y(0) 8 Solve the initial-value problem. a) y', _ y'-12y = 0, y(0) = 3, y'(0) = 5 b) y"-4y'+3y 9x2 +4, y(0)-6, y(0) 8
5. (5 points) a) Find a particular solution of y" +3y+4y 3x+2. b) Determine the appropriate form for a particular solution of y-4y- 2e* (2 points)