The solution of this differential equation is done by using "D" notation.
Firstly, form the characteristics equation and find the complimentary function.
Then compute the particular integral by using annihilator method.
The coefficients of the particular integral is determined by the method of undetermined coefficients.
The combination of complimentary solution and particular integral is thus the required General Solution as shown below:
Use the Annihilator Method and the “D” notation to find the general solution to y"+y=1? +5
(10) 7. Use the Annihilator method to find a particular solution of the equation y" + y - 2y = cos 32. [15] 8. (a) Check if the matrix A is defective or not. (b) Use the results of (a) to find the general solution to the system x' = Ax if 1-(2)
(10) 7. Use the Annihilator method to find a particular solution of the equation y" + y - 2y = cos 3x (15) 8. (a) Check if the matrix A is defective or not. (b) Use the results of (a) to find the general solution to the system x' = Ax if A=(1-2)
[10] 7. Use the Annihilator method to find a particular solution of the equation y" – 4y' + 4y = 2e24
[10] 7. Use the Annihilator method to find a particular solution of the equation y" – 4y' + 4y = 2e24
[10] 7. Use the Annihilator method to find a particular solution of the equation y" – 4y + 4y = 2e27
Obtain the particular solution of the equation y"'-y=e^x(xcosx) by annihilator method?
Use the method of undetermined coefficients to find the general solution to the ODE: y" + y' = x + 2 (ans: C1 + C2e-x + (1/2)x2 + x)
Use the method of reduction of order to find the general solution to x2r"-xy'+y =x given that 3'1 = x is a solution to the complementary equation 1. Use the method of reduction of order to find the general solution to x2r"-xy'+y =x given that 3'1 = x is a solution to the complementary equation 1.
cos y 1. Use the method of separation of variables find the general (explicit) solution to the differential equation = xcscy cosydy - x CSC²y dy xoschy cosy Xcsc²y.t dx cosy dy = xoscay.secy dx
Find the general solution of the equation: y'' + 5y = 0 Find the general solution of the equation and use Euler’s formula to place the solution in terms of trigonometric functions: y'''+y''-2y=0 Find the particular solution of the equation: y''+6y'+9y=0 where y1=3 y'1=-2 Part 2: Nonhomogeneous Equations Find the general solution of the equation using the method of undetermined coefficients: Now find the general solution of the equation using the method of variation of parameters without using the formula...