1. If A= [ 1 = [] 4]. find the general solution to dx dt Ax
Find the general solution to the system of differential equations: dx/dt = 2x - y dy/dt = 3x - 2y please write legible
Find the general solution of the following differential equation: d²x dx + 2x = 3t-3 dt? dt + The general solution of the differential equation is X(t) =
please provide explanantion Find the general solution of the given system. 2x – 7y dx dt dy dt dz dt 5x + 10y + 4z :5y + 22
Find an explicit solution of the given initial-value problem. dx/dt = 7(x^2 + 1), x(π/4)=1
PLEASE ANSWER #2 Problem 1: Find the general solution for dx d?.x dt2 + 2k- + k.x = 0 dt where k is an arbitrary constant. Problem 2: Find a differential equation with solution -2.x -23 y = e cos(x) +e sin(x). Hint: Use the property that i2 = = -1 to simplify your work.
Problem 1: Find the general solution for dx d?.x dt2 + 2k- + k.x = 0 dt where k is an arbitrary constant. Problem 2: Find a differential equation with solution -2.x -23 y = e cos(x) +e sin(x). Hint: Use the property that i2 = = -1 to simplify your work.
1. Find the general solution to dr dt = x + 3y dy dt = 4.0 + 2y
Consider the following system: dx/dt=y(x^2+y^2-1) dy/dt= -x(x^2 +y^2-1) Find the equilibrium solution. 13. Consider the following system dx dy (e) Find the equilibrium solutions (0 Use Maple to sketch a phase portrait (me to understand the qualitative behavior of 13. Consider the following system dx dy (e) Find the equilibrium solutions (0 Use Maple to sketch a phase portrait (me to understand the qualitative behavior of
question 5 Note. Some of the follow: notation x = dx/dt and following exercises use the overdot it and ï = d'x/dt- for first and second d also in Chapter 4, Section 1. ial equations 1 to 6 generates a free Cach (i.e., undriven) os classify each equation damped, underdamp e derivatives, used also in Chant of the differential equations 1 ven) oscillation. (a) Without solving it first, v each equation according to type: harmonic, over- underdamped, or critically damped....