a. With Laplace transformers solve x"+4x'+20x=0 ; x(0)=4 & x'(0)=-5
b. With Laplace transformers solve x'=2x+2y and y'=2x-y ; x(0)=1 & y(0)=2
a. With Laplace transformers solve x"+4x'+20x=0 ; x(0)=4 & x'(0)=-5 b. With Laplace transformers solve x'=2x+2y...
2. Solve the initial value problem = 4x + 2y, = 2x + y with r(0) = 1, y(0) = 0.
Solve the equation. (2x)dx + (2y - 4x^y 'dy =0 by multiplying by the integrating factor. An implicit solution in the form F(x,y)=C is = C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.) the solution y = 0 was lost the solution x = 0 was lost no solutions were lost
Solve without using laplace 3. x' = -4x – 10y where x(0)=2 and y(O)=3 y' = 2x
#4 Complete the squares. a) x2 + 4x - y - 12 = 0 for x b) 2x + y2 - 6y = 1 for y #5 Solve the system of equations sx - y = 11 a) 12x + y = 19 1-3x - 2y = 1 b) 16x + 4y = -2
Using Laplace Transform (LT) and Inverse Laplace Transform (LT) solve the following system of equations: 1. X'=- 2x + 5oy y' = x - y With x(0) = 25, and y(0) = 0 2. x' + 4x - y = 7t x' + y' - 2y = 3t With x(0) = 1, and y(0) = 0
Solve this system of a linear equation. 2x + y = 1 4x +2y = 3
solve using laplace please. xy'' + (1-x)y' + 2y = 0 , y(0) = 1 , y'(0) = -2
PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x = 0 3.5. (x-1)? ydx + x? (y - 1)dy = 0 Just find a solution. Solving for y is tough. Test for exactness and solve if exact. 3.6. (y - x) dx + (x? - y) dy - 0 3.7. (2x + 3y) dx + (3x + y - 1) dy - 0 3.8. (2xy Y + 2xy + y) dx + (x*y*el...
Q4 please 4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find a particular solution of the equation y" +2/ +2y = sin 2x by method of undetermined coeficients. 4 marks] (c) Use Laplace transform to solve the initial value problem l-1, 21 0-,0)- [10 marks] 4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find...
Solve 3x + 2y – z = 1x – 2y + z = 02x + y – 3z = -1