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Q1+.please give me answer for this questions. question are completly clear. True

ID: 2874553 • Letter: Q

Question

Q1+.please give me answer for this questions.

question are completly clear. True/False.

If y_1, y_2, , y_n are linearly independent solutions to an nth-order homogeneous linear differential equation with constant coefficients, then the general solution is given by y = c_1y_1 + c_2y_2 + +c_ny_n If y_1, y_2, , y_n are solutions to an nth-order homogeneous linear differential equation with constant coefficients, then so is y = c_1y_1 + c_2y_2 + + c_ny_n Reduction of order is a technique for finding an additional solution to a homogeneous linear differential equation. If y_1, y_2, , y_n are linearly dependent, then it's possible to express one of the y_i'S as a linear combination of the others. If Q is a function of t and the rate of change of Q is proportional to Q, then dQ/dt = kQ for some constant k. The ODE dy/dx = y^2 + 4 has two equilibrium points. A differential equation for which the unknown function involves two or more independent variables is called an ordinary differential equation. The integrating factor for the linear equation a(x)dy/dx + b(x)y = c(x) is mu(x) = e^f b(x)dx. Some non-homogeneous first-order linear differential equations are separable. Euler's method is an example of a technique for approximating solutions to differential equations. Variation of parameters can be used to find the particular solution to a linear differential equation with constant coefficients and Cauchy-Euler equations. L - 1 {F(s) + G(s)} = f(t) + g(t)

Explanation / Answer

ANSWER :

A) TRUE

B) TRUE

C) TRUE

D) TRUE

E) TRUE

F) TRUE

G) FALSE

H) FALSE

I) TRUE

J) TRUE

K) TRUE

L) TRUE