Suppose that m = 1 and k = 2 for the mass and spring of Example 3 and that the mass is attached also to a dashpot with damping constant c = 2. Then its displacement function x (t) satisfies the second-order equation x" (t) + 2x'(t) + 2x(t) = 0. With y = x' we obtain the equivalent first-order system dx = y, dt dy — — 2х — 2у dt

Q: 2. Solve the following simultaneous equations by elimination: (3x - y = 5 4x + y = 9 a) b) {3x 7x

A: a) we need to solve given system by elimination method b) we need to solve given system by…

Q: There is no solution. only a question above. Where is the solution?

A: a) the first power source model is given by  V1(t)=Re( 2e3it) note that we know that eix=cosx +i…

Q: solve for v 5(v-8)=3v-38

A: The given equation is

Q: d³y --13 + 6y = 0 4 dx3 dx

A:

Q: Solve a0 = 1, a1 = 3 and an = an−1 + 6an−2, for n ≥ 2.

A: We will start with the trial solution, an = rn for all n > 0

Q: I am working on this problem but I can't figure out the steps to solve it can you help me?

A: The given expression is,

Q: 3. Solve: 22-(-18)+7+(-42)-27 =

A:

Q: What is an inconsistent equation? Give an example.

A: Inconsistent equation:            If a system has no solution, it is said to be inconsistent

Q: bw+jn=bz+m Solve for b

A:

Q: SOLVE, COMPARE A AND B eln (z) A = B = Z3 z3 - 1 z-1 Z3

A: 📍 Approach to solving the question: To solve and compare the integrals A and B, you should follow a…

Q: Solve where (A + B)/C 1-1 3 201 1 1-1 A - 321 B = 시 -2 1 0 31 1 1 3 -1 0 -1 2 1

A: Find the determinant of all three matrices and then find the required.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.