Solve the following initial value problem:
3) Solve the following initial value problem. ( 1; 0 <t y" + y = f(t), y(0) = 2, y'(0) = -1, where f(t) = } nere -1; En VI t
(1 point) Solve the following initial value problem: dy + 0.6ty = 3t dt with y(0) = 5. y = (1 point) Solve the following initial value problem: dy dt + 2y = 3t with y(1) = 7. y
Solve the following initial value problem 49y 2sin2.x: y(0)= 1,(0) 0
Solve the following initial value problem y' = x2(1+y) such that y(0) = 3 Y = 4e 3 -1 Oy=4e22 – 1 y = 4er? -1 y = 3e422
(1 point) Solve the following initial value problem: (3y2−t2y5)dydt+t2y4=0, y(1)=3. y(t)= (1 point) Solve the following initial value problem y(t)- help (formulas)
6. Solve the following initial value problem y"+ 2yty- sin3) y(O) 1 y'(0)-1
5. Solve the initial value problem, y"+y' - by = 4e* with y(0) = 1 and y'(0) = 1
(15 points) Solve the initial value problem y' = (x + y - 1)? with y(0) = 0. a. To solve this, we should use the substitution help (formulas) help (formulas) Enter derivatives using prime notation (e.g.. you would enter y' for '). u= b. After the substitution from the previous part, we obtain the following linear differential equation in 2, u, u'. help (equations) c. The solution to the original initial value problem is described by the following equation...
4. Solve the initial value problem: y' +9y' + 20y = 0, y(0) = 1, and y'(0) = 0
7. Solve the initial value problem --( y = -1 00 when the initial value is given as following: and discuss the behavior of the solution as t (you may sketch the solution curve.) (a) X(0) = (0,0.5). 7. Solve the initial value problem --( y = -1 00 when the initial value is given as following: and discuss the behavior of the solution as t (you may sketch the solution curve.) (a) X(0) = (0,0.5).