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4. (30 pts.) Use the Method of Elimination to find general solution of the linear system....
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t 2x' + y' - 8x - 9y = e-t x' +y' +9x + 4y = et Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. O A. X(t)= C1 e 7t + Cze - 7t + 58 e-t- et O B. X(t) = Cy cos (7t) + C2 sin (7t) OC. x()=C7 e...
Use the elimination method to find a general solution for the given linear system, where the differentiation is with respect to t. x' = 6x – y y' = 6y – 9x
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t * = 4x - 5y oy = 5x + 4y Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. A. y(t) = C, "cos 5t+C2 et sin 5t OB. y(t) = C, e " + Cate OC. y(t) = C, e - 4 cos 5t+Cze-4 sin 5t OD. y(t) = C, -4+ Cyte...
Help its for my Final Homework Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 3x - 4y + sint y' = 2x-y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. sint sint 10 cost + CA. y(t) = C, e cos 2t + Czesin 2t + 10 -cost 10 9 3 O B. y(t) = C, e -...
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
5. Use Gauss' Method to find the general solution of the system and give one particular solution. [6x, + 3x₂ + 2x₂ + 3x₂ + 4x, = 3 4x, +2x2 + x3 + 2x4 +3x, = 2. 1 2x + x₂ + x₃ + x₂ + x = 7
Solve the system of equations by the Gaussian elimination method. (If the system is dependent, enter a general solution in terms of c. If there is no solution 3y + 2z = 1 3x - 4y - 32-11 3x + Y Z-12 2x -
Find the general solution of the following 2nd order linear nonhomogeneous ODEs with constant coefficients. If the initial conditions are given, find the final solution. Apply the Method of Undetermined Coefficients. 7. y" + 5y' + 4y = 10e-3x 8. 10y" + 50y' + 57.6y = cos(x) 9. y" + 3y + 2y = 12x2 10. y" - 9y = 18cos(ix) 11. y" + y' + (? + y = e-x/2sin(1x) 12. y" + 3y = 18x2; y(0) = -3,...
Use the elimination method to find a general solution for the given inear system, where differentiation is with respect to t. 3x +2y = 0 x- yo Eliminato x and solve the remaining differential equation for y. Choose the correct answer below. O AY) - Cocos (-74) OB. y)=C O c. y)-C sin (-70) OD YN-C2- O E. The system is degenerate Now find so thatxt) and the solution for yt) found in the previous stop are a general solution...
Differential Equations Please help me with part b I already did part A Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. (D-1)u(3D+ 1)v-9 Eliminate v and solve the remaining differential equation for u. Choose the correct answer below 0 E. The system is degenerate. Now find v(t) so that v(t) and the solution for u(t) found in the previous step are a general solution to the system...