PLEASE ANSWER #2 Problem 1: Find the general solution for dx d?.x dt2 + 2k- +...
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.
Find the general solution of the following non-homogeneous differential equation d 2 y dt2 + 2 dy dt + y = sin (2t). (2) Now, let y(t) be the general solution you find, when happen if we take lim t→+∞ y(t)? 2. Find the general solution of the following non-homogeneous differential equation dy dy sin (2t) (2) 2 +y= dt dt2 Now, let y(t) be the general solution you find, when happen if we take lim y(t)? t-++oo
d. Find the general solution of the differential equation56-48x + 49y - 42xy dx Give an implicit solution in the form F(x)GK, in which the coefficient of x2 is 84. Answer: =K e. Find the particular solution of the differential equation (4 +x2)으-2V 16-r, such that y-t as x →-2. dx Simplify your answer as much as possible. Answer: y= d. Find the general solution of the differential equation56-48x + 49y - 42xy dx Give an implicit solution in the...
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) =
Question 1 3 pts The solution of the Initial-Value Problem (IVP) S (x + y)dx – «dy = 0 is given by 1 y(1) = 0 Oy=det-1 - 1 Oy= < ln(x + y) Oy= (x + y) In x Oy= < In x None of them Question 2 3 pts The general solution of the first order non-homogeneous linear differential equation with variable coefficients dy (x + 1) + xy = e-">-1 equals dx 2 Oy=e* (C(x - 1)...
(1 point) a. Consider the differential equation: d2y 0.16y-0 dt2 with initial conditions dt (0)-3 y(0)--1 and Find the solution to this initial value problem b. Assume the same second order differential equation as Part a. However, consider it is subject to the following boundary conditions: y(0)-2 and y(3)-7 Find the solution to this boundary value problem. If there is no solution, then write NO SOLUTION. If there are infinitely many solutions, then use C as your arbitrary constant (e.g....
find the general solution of the differential equation by using the system of linear equation. please need to be solve by differential equation expert. d^2x/dt^2+x+4dy/dt-4y=4e^t , dx/dt-x+dy/dt+9y=0 Its answer will look lile that: x(t)= c1 e^-2t (2sin(t)+cos(t))+ c2 e^-2t (4e^t-3sin(t)-4cos(t))+ 20 c3 e^-2t(e^t-sin(t)-cos(t))+2 e^t, y(t)= c1 e^-2t sin(t)+ c2 e^-2t(e^t-2sin(t)-cos(t))+ c3 e^-2t(5e^t-12sin(t)-4cos(t))
2) Find the general solution of the differential equation: (ry - sin x)dx + x’dy = 0.
Homework Two: Problem 17 Previous Problem Problem List Next Problem fy (1 point) The general solution to the second-order differential equation dt2 y(x) = e" (c, cos Bx + ca sin ßx). Find the values of a and B. where ß > 0. - 2x+8y = 0 is in the form Answer: a = and p = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have...
Problem 2. (1 point) If the differential equation dx m dt2 *sor + 8x = 0 dt is overdamped, the range of values form is? Your answer will be an interval of numbers given in the form (1,2), (1,2), (-inf,6), etc.