Write the system given system of differential equation in matrix form. Y₁' = 3y₁ + y2 + 3 sin(4x) Y2 = y12y2 + 4 sin(4x) [] Y2 = Y1 S + sin(4x)

Q: Convert the following 2nd order differential equation into a 1st order differential system: 2y" + 4/…

A: The given second order equation is 2y''+4y'+6y=cost  …(1) To convert into 1st order system of…

Q: Consider Diagonalize A, that is, find D and X auch that A = XDX-¹. Find the general solution to the…

A:

Q: Z₁' (t) = -6₁2 + 1.12₁ -0.822 Z₂²' (t) = -13.8 +2.12, -1.222 Z₁ (0) =11 Z₂₁₂ (0) = 4

A: The given system of differential equations are as follows.Find the equalibrium point as follows.Put…

Q: A third-order homogeneous linear equation and three linearly independent solutions are given below.…

A: Given: The differential equation is y3+2y''-y'-2y=0,y(0)=4, y'(0)=4 and y''(0)=0. It is also given…

Q: Find a particular solution of the indicated linear system that satisfies the initial conditions ×₁…

A:

Q: 2) Consider the predator-prey model 2 x'= ax -x²-bxy 2 y'=cy - cy² + xy where all the parameters are…

A:

Q: x'1 = 3x1 + x2 + 3x3, x'2 = x1 +5x2 + X3, x'3 = 3x1 +X2 + 3x3 What is the general solution in matrix…

A:

Q: n electrical network can be modelled using a system of first order linear differential quation given…

A:

Q: Express the given system of higher-order differential equations as a matrix system in normal form.…

A:

Q: The system of non-linear differential equations x = -sin x cos y, y = sin x + sin y, has an…

A: Given system of non-linear first order system of differential equations are

Q: Solve the system of differential equations -99 168 x' Ꮖ -56 95 = x1(0) 33, 2(0): x1(t) = x2(t) = =…

A:

Q: Express the given system of higher-order differential equations as a matrix system in normal form.…

A: given x''+5x+4y=0, and   y''-2x=0