differential equations. PLEASE answer both parts. These have to do with Superposition principles. thank you in...
Differential Equation Please answer both of the questions below Thanks! Solve the given initial value problem. y'' + 36y = 0; y(0) = 3, y'(O) = 5 x(t) = Find a general solution to the differential equation using the method of variation of parameters. y'' + 2y' +y=2e -t The general solution is y(t) = .
Undetermined Coefficients: Find the general solution for the differential equations. Find the general solution for the following differential equations. (1) y' - y" – 4y' + 4y = 5 - e* + e-* (2) y" + 2y' + y = x²e- (3) y" - 4y' + 8y = x3; y(0) = 2, y'(0) = 4
Find the general solution of the differential equations taking into account the initial conditions, using the parameter variation method: y'"' + 4y' = t y(0) = y'(0) = 0 et y"(0) = 1
1. Find the general solution to the next system of differential equations. 2. Find the general solution of the following system of differential equations by parametric conversion. Y' = [2 =3] [2 – 4) (1-3 y+ 2t2 + 10+] t2 +9t +3 Sa = - 3x+y+3t ly' = 27 - 4y+et
Find the general solution of the differential equations taking into account the initial conditions using the parameter variation method: . y'"' + 4y' = t y(0) = y'(0) = 0 et y"(0) = 1 yiv + 2y" + y = 3t+4 ; y(0) = y(0) = 0 et y"(0) = y''(0) = 1 y" – 3y" + 2y' =t+e' ; y(0) = 1; y'(0) = -set y" (0) 3 2
Please show solutions. Answer: 1. Find a general solution to the following differential equations: (a) y" + y = 0 (b) y" – 2y' + 264 = 0 (c) 4x²y" – 3y = 0 (d) y" + 4y = 9 sin(t). (e) y" – 6y' + 9y = 6e3x 1. (a) y = ci + c2e- (b) y = cle' cos(5t) + czet sin(5t) (c) y = cit-1/2 + c2t3/2 (d) y = ci cos(2t) + c2 sin(2t) + 3...
Differential equations. Please answer all parts of the question! 1.Consider the linear second-order ODE +2y 0. (A) What is the "characteristic polynomial"? (B) What is the "characteristic equation"? And what are the roots? (C) What is the general solution to the ODE? 2.Find the general solution to 324u-y
Find the general solution of the differential equations taking into account the initial conditions using the parameter variation method : . y'"' + 4y' = t y(0) = y'(0) = 0 et y'(0) = 1 3 y'" – 3y" + 2y' = ttet ; y(0) = 1; y'(0) = Let y"(0) 2
ordinary differential equations will rate quick for quick response. please and thank you! 1.- Find the solution of the initial value problem. Write the answer in explicit form. y=-Toy YO) = 1
Please answer both parts of the problem. Thank you in advance! Problem 4: 10 points Recall that for a normally distributed X ~ 11, ?2j, its moment generating function is: My (u) = EPI = emutaw, for any u. Suppose that a Gaussian process, X = {X(t) : t 0) , is presented as where B-(B(t) : t-0} is a standard Brownian motion. A process, Y(t)-ex(t), s known as geometric Brownian motion 1. Find the expected value of Y (t)....