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Solve the following system of first order differential
equations:
Given the system of first-order differential equations ()=(3) () determine without solving the differential equations, if the origin is a stable or an unstable equilibrium. Explain your answer.
please solve number 4
Problem No.1 Solve the following first order differential equations by finding: a- Homogenous solution a. The particular solution b- The total (complete) solution for the corresponding initial conditions. Note: Answer all questions clearly and completely. 1- y' + 10y = 20; y(0) = 0 2- 4y' - 2y = 8; y(0) = 10 3- 10y' = 200; y(0) = -5 4- 2y' + 8y = 6cos(wt); y(0) = 0. Let o = 12 rads/sec.
8. Solve the following first order homogeneous linear system of differential equations I a -B -B Cu = -3 4 -3 | u, 1-B –B a ) where a and B are real nonzero constants. Find a fundamental matrix and the inverse matrix of the fundamental matrix. Hint: dot1 TI 212/1 a 22).
(1 − ? ^2) y" - 2xy' + 2y = 0 ,Y1 = x
2. Transform the following differential equation into an equivalent system of first-order differential equations -3° - 4x' +2.? = 2 cos 4t L M e e 00 O TI
10. Use variation of parameters to solve the system of first order differential equations: x1(t) = 2x1-12
10. Use variation of parameters to solve the system of first order differential equations: x1(t) = 2x1-12
Solve the following differential equations.
10. Solve the following differential equations. (a) (x2 - y2) 2 = ry (c) y" – y' cot = cot x (d) - 2y = 23
Differential Equations with MATLAB/Plotting first order
differential equations in Matlab/ Differential Equations MATLAB/IVP
Matlab/IVP
I'd really appreciate if I can get some help plotting these 3
first order differential equations as well as their comments.
PLEASE! ANYTHING HELPS, I am very stuck :(
EZplot and ODE 45 were mentioned in class and the instructions
in class were not clear at all.
Given the first order differential equation with initial condition. dy/dt = y t, y(0)=-1 Complete problems 1-3 in one...