8:55 PM | 50.0KB/s ← اله. الله. Assignment 2 DEMC_... Q Assignment 2 1. Solve (D²-4D+4)= e² + cos 2x. 2. Solve (D² - 2D + 2)y = e'x² + 5 + e²²x² 3. Solve (D2-5D+6)y=xcos2x. 4. Solve (D²+4)y tan 2.x. = 5. Solve (x²D²-xD+2)y = 6. Using Laplace transform: 6. Solve y"+4y+3y=e, y(0) = y'(0) = 1. 1 Find the inverse Laplace transform of 7. (s+3) (s²+2s+2) 8. Find the inverse Laplace transform of 352 +2 (s+1)(s+2)(s+3) 46 Verify Green's theorem for 9 10. dx+dy where C is the boundary X of the region bounded by the parabola y = √x and the lines x = 1, x = 4, y = 1. Find the work done in moving a particle from A(1, 0, 1) to B (2, 1, 2) along the straight line AB in the force field F = x²+(x − y)}+(y+z)k. %