MatLab question 19.

I am struggling with getting the input and output for question 19. Could anyone help with this in MATLAB.

e 14. Find the antiderivative of etr + cosa + sin t2 with respect to a. 15. Find the definite integral of x? + cos x from x=0 to r = 3. 16. Find the definite integral of Inz from x = = 1 to c=5. 17. Find the definite integral of e- from x = -1 to a = 3. Give the answer as a decimal. You may find it easier to use quad rather than the Symbolic Math Toolbor. sin 18. Find the definite integral of from a = 1 to x = 10. Give the answer as a decimal. You may find it easier to use quad rather than the Symbolic Math Toolboz. 19. Numerically verify that y(x) = sin x + 2 cos z is a solution on (-0,00) to da2 +y = 0. 20. Numerically verify that y(x) = e", y2(x) = cet are both solutions on (-00,00) to y" - 2y + y = 0. 21. Solve y' = sin(x), y(0) = 0 by hand. Then use MATLAB to find y(1), y(3). (Hint: remember, from calculus, that y(x) = So" f(t)dt is a function of x and thus y(1) is a number that can be evaluated with the above code.) Use MATLAB to plot the solution from = 0 to = 4. 22. Use MATLAB to numerically solve y' = sin(x), y(0) = 0. Plot this numerical solution from = = 0 to r=4 23. Solve y y(1) = 0 by hand. Then use MATLAR sin()