Question 4 (Matrix exponential method) Question 4. Let A = - (3) 1 4 (i) Find eA. (ii) Find the general solution of the system below using the matrix exponential method. 3 7-(11) 7. (iii) Solve the initial value problem 4 3 y. 3 1 = 43 ) ³, y(0) = ( -2 )·

the equation of motion of a particle is given by subject to the initial conditions Xo = x1 x₁ = -ao xo - α₁ x₁ (x0, X1) = (1, 0) The constants are given as follows: a = 2 and a₁ = 1 (a) Find the solutions of the equations of motion using the RK(solver_ivp) method of solving system ODES. (b) What do the constants ao and a₁ represent physically? You can use dimensional analysis. (c) Describe the motion based on your results.

Fast pls solve this question correctly in 5 min pls I will give u like for sure Sub

You symbolically solve an engineering problem to obtain the equation: a***y^2 + cos(y)=0 where a, and x are known, you need to find the value of y: 1. Variable Storage 2. MATH - Solver 3. MATRIX - rref 4. Unknown/this type of equation was not covered You symbolically solve an engineering problem to obtain the following equations: a*x + b*y = c d*y + e*x = f x, and y are unknown, all other variables are known. 1. Variable Storage 2. MATH - Solver 3. MATRIX - rref 4. Unknown/this type of equation was not covered

Please help me to solve the system of ODE's ((question 4)) in the below of page 4.I attached an explanation with the question 3 for your helpThank you.[ Math. modeling ]

Please Solve according to instructions and get the thumbs up please show neat and clean work

Question 1 Find the solution to (2x+3) y'=y+ (2x+3) ²; x = -1;y=0 2y = (2x + 3) ²1n (2x + 3) y= In(2x + 3) 3 (√2x+3) y = 2ln(2x+3)/√√2x+3 O 2y = ln(2x + 3)/2x+3

question in image

x'(t) = of the any - 2 5-6 4 1-4-6|x (t) x (0) = -2 + -3 1 The only eigen value of this matrix is -3, a triple root. You must explicitly find matrix involved, with the exception cannot involve Also, your answer 0 imaginary any matrix inverses. number i.

3 -2 III. 1. Using the technique in Item II., find the general solution of the system ty' = 2 -2 3 -2t 2. Solve the nonhomogeneous system ty' = Y + (21). 2 -2 Y.