y₁ = 4y₁ +2y2-2e-21 3) 1 y₂'= 3y₁ + 3y2 + 3e°¯ -2t (a) Find the homogeneous solution of the above systems of differential equations (b) Find the particular solution using "method of undetermined coefficient." (c) Find the particular solution using "method of variation of parameters."

Using the Second Order Runge-Kutta method (modified Euler's version) to solve the ODE dy/dx = 3x + 4y with the initial condition y = 2 and x = 0 using a stepsize of h = 0.2 solve y' (0.6)? Kindly answer it fast. Thank you

Q4) Apply the Euler- Cauchy method to solve the differential dy equation dx = 3x + 2y in the range 0(0.1)0.2, given the initial condition that at x=0,y=1

(1A)The cross product of vectors P and Q results in a _____ quantity. Group of answer choices vector scalar depends on the angle between the vectors zero   (B)   which of the following would permit you to find the portion of vector A which is parallel to vector B? Group of answer choices a unit vector in the direction of A the magnitudes of vectors A and B a unit vector in the direction of B the magnitudes of both A and B and the product A dot B.

(1 5 -4 Given the matrix A = 1-3 4 2 2 4 (a) Find the determinant of A. [4 marks] (b) Calculate the inverse of A. [8 marks] (c) Hence find the general solution of the linear simultaneous equations x+5y -4z -w = 3 x-3y +4z +w = 3 2x + 2y +4z = 10 [6 marks] (d) Find the eigenvalues and eigenvectors of A. [12 marks]

Find the derivative of the equation 2x-xy-3x+2y=0

Part A is correct but I'm not sure about part b