Solve the initial-value problem shown below: +3; y(-2) =1. Give an exact formula for y. Please...
Solve the initial value problem ry' + xy = 1, > 0 y(1) = 2.
3. Use the mean value theorem to prove the following inequality. (1 +x)" >1 for z >0 andnEN
Solve the y"+ 4y = initial value problem s 1 if 0<xsa To if x>,T ylo)= 1, g(0)=0
Question 7 < > Solve the initial-value problem using the Method of Undeterminded Coefficients: y' + 4y = 10 cos(2t) y(0) = 1 y'(0) = 1 g(t) = Submit Question
2) (a)(10 pts.) Find the continuous solution to the initial value problem de + y = 9(2) where q() = { 0 if 2>1 sat S 1 if |2<1. satisfying y(0) = 0. (b)(10 pts.)Solve the differential equation de ty
Use the Laplace Transform to solve each of the following initial-value problem (b) y'(t) + 16y(t) = f(t), y(0) = 2, y'(0) = 1. where f(t) is defined by (t) = , 1, 0 <t<, 10, t>,
3. Solve the initial and boundary value problem aut, c) = a. cut,c), force (0,7), t > 0. u(t,0) = u(t, 7) = 0, (0, 2) = cos , 2 € (0,7).
2. a) Solve the initial value problem dy 1 dx 1+2x y -2x+1:y(2)-5 b) Explain why this solution is defined for all x >-
Solve the following initial value problem. St/2 if 0 <t<6 y" +y= 3 ift > 6 6 y(0) = y'(0) = 0 14Pm1011* 1917 Prid A++ V "Top14
(1 point) Solve the initial value problem 10 10(+ 1) My – by = 241, 24t. for t> -1 with y(0) = 3. y=