a. Use the Laplace approach in order to obtain the analytical solutions x(t) for the following Differential Equations using MATLAB (don't use DSOLVE): Diff. Egn. 1: 3 + 2x + 10x = e-, Diff. Eqn. 2: 2x + 7*+ 3x = 0, x(0) = 0, x(0) = 3, *(0) = 0 *(0) = 0 b. Use the DSOLVE function in MATLAB in order to solve the two differential equations in part (a). Verify that the solutions obtained in part (a) are correct (include the outputs obtained from DSOLVE for both differential equations). c. Plot the response of the solutions x(t) obtained in part (a). Use only positive time limits (for x-axis). Also, use appropriate limits for y-axis. a. Use the Laplace approach in order to obtain the analytical solutions x(t) for the following Differential Equations using MATLAB (don't use DSOLVE): Diff. Egn. 1: 3 + 2x + 10x = e-, Diff. Eqn. 2: 2x + 7*+ 3x = 0, x(0) = 0, x(0) = 3, *(0) = 0 *(0) = 0 b. Use the DSOLVE function in MATLAB in order to solve the two differential equations in part (a). Verify that the solutions obtained in part (a) are correct (include the outputs obtained from DSOLVE for both differential equations). c. Plot the response of the solutions x(t) obtained in part (a). Use only positive time limits (for x-axis). Also, use appropriate limits for y-axis