Solve the system of first-order linear differential equations. (Use C1, C2, and C3 as constants.) Yı'...

Question

Question

Solve the system of first-order linear differential equations. (Use C1, C2, and C3 as constants.) Yı = -Y1 Y2 = 2y2 Y3 = Y

math algebra

Answer 1

Answer #1

SOLUTION y; -wy, r de 13 -Syi th 9, 14) and, ya = 2 % 2 te Y₂ (4) 2 - y te And, y = = 43 Y3 (2) z tl.3 2 Answer, (2) ), 8 (+)

Answer 2

Similar Homework Help Questions

Solve the system of first-order linear differential equations. (Use C1, C2, and C3 as constants.) Y1...

Solve the system of first-order linear differential equations. (Use C1, C2, and C3 as constants.) Y1 3y2 Y2' 4y1 4y2 + 1473 7y3 = Y3' = 473 (y1(t), y2(t), y(t)) Need Help? Read It Watch It Talk to a Tutor [1/3 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.4.029. Write out the system of first-order linear differential equations represented by the matrix equation y' = Ay. (Use y1, and y2, for yi(t), and yz(t).) [01] Yı' = Y2' =
Step by step please. Solve the system of first-order linear differential equations. (Use C1 and C2...

Step by step please. Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) Yı' = y1 Y2' = 3y2 (y1(t), yz(t)) = ) x Solve the system of first-order linear differential equations. (Use C1, C2, C3, and C4 as constants.) Yi' = 3y1 V2' = 4Y2 Y3' = -3y3 Y4' = -474 (71(t), yz(t), y(t), 74(t)) =
step by step please Solve the system of first-order linear differential equations. (Use C1 and C2...

step by step please Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) vi' = -471 42' = - 1v2 (yı(t), yz(t)) = Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) V1' = Y1 5y2 y2' = 2y2 (V1(t), yz(t)) =

Solve the system of first-order linear differential equations given below. yil ya' = -1 12y2 =...

Solve the system of first-order linear differential equations given below. yil ya' = -1 12y2 = Y3 Vi = O aY2 = 3 = C+e+ C2 +12 Czte Oby2 yu = Cie C₂e-12 Cze? 13 yi Ce? Cze12 OC. Y2 = 13 Cze' y = 1+Cje od yz = 1+ Cze-12 93 1+Cze y = 1+0,e- Oe. Y2 = Cze12 V3 = Czte
(1 point) The system of first order differential equations: y = -3y + 2y2 y =...

(1 point) The system of first order differential equations: y = -3y + 2y2 y = -4yı + 1y2 where yı(0) = 4, y2(0) = 3 has solution: yı(t) = yz(t) = *Note* You must express the answer in terms of real numbers only.
Question 2: Differential Equations a) (3 points) Find the general solution to the equation. Use C,C1,C2...

Question 2: Differential Equations a) (3 points) Find the general solution to the equation. Use C,C1,C2 ... to denote arbitrary constants as necessary. y"(t) = sin6t + 20e b) (5 points) Solve the following separable differential equation for the given initial condition. y')= (1) = 0 c) (5 points) Solve the following first-order linear differential equation for the given initial condition. y't) + 7y - 3,y(0) - 1 d) (2 points) State the equilibrium solution and whether it is stable...

(1 point) Consider the system of higher order differential equations 2 Rewrite the given system o...

(1 point) Consider the system of higher order differential equations 2 Rewrite the given system of two second order differential equations as a system of four first order linear differential equations of the formy - P(t)y + g(t). Use the following change of variables y (t) y2(t)y'(t) 3 (t) y(t) у(t) z(t) -y2 4 (1 point) Consider the system of higher order differential equations 2 Rewrite the given system of two second order differential equations as a system of four...
(1 point) This is the second part of a three-part problem. Consider the system of differential...

(1 point) This is the second part of a three-part problem. Consider the system of differential equations y y = = 741 +242, -4y + y2. Verify that for any constants C and c2, the functions y(t) = gest+cze3t, yz(t) = -cest – 2c2e3t, satisfy the system of differential equations. Enter c as c1 and C2 as c2. a. Find the value of each term in the equation y' = 7y1 + 2y2 in terms of the variablet. (Enter the...
(1 point) The system of first order differential equations y = -10yı -6y2 y = 12...

(1 point) The system of first order differential equations y = -10yı -6y2 y = 12 yı + 8y2 where yı(O) = 5, y2(0) = -4 has solution yi (t) = y ) =

Solve the following ODE. Enter the constants as C1. C2. and C3.

Solve the following ODE. Enter the constants as C1. C2. and C3.