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Find the solution to the initial value problem 1 [E]'-: :] [:] [:O] - [8]
Find the solution to the initial value problem [2]=[ ][:] [:O] = [1] X1(0) 22 (0)
Consider the initial value problem i. Find approximate value of the solution of the initial value problem at using the Euler method with . ii. Obtain a formula for the local truncation error for the Euler method in terms of t and the exact solution . 2,,2 5 0.1 y = o(t) 2,,2 5 0.1 y = o(t)
In problems 7 and 8 find the solution of the given initial value problem in explicit form: 7. sin 2.x dx + cos 3y dy = 0, y /2) = 1/3. 8. y' (1-22)/2 dy = arcsin x dx, y(0) = 1.
Find the solution of the given initial value problem. (4) – 6y'"' + 9" = 0 y(1) = 10 + e, y' (1) = 8 + 3e3, y" (1) = 9e), y'' (1) = 27e3 y (1)
QUESTION 2 Find the longest interval in which the solution for the initial value problem is certain to exist: (t + 2)y" - (sint)y' + - (-1) = 0 a. (- 0,00) O b.(-2,00) oc(- 0,4) d. (-2,0) o e. (-2,4) f. none of the above
Find an explicit solution of the given initial-value problem. ✓ 3 ✓ 1 - y2 dx - V1 - x? dy = 0, y(O) = 2
Find the solution of the initial value problem y(1) = 46 y = sqrt(e^(-1/x+2)+5) Your answer should be a function of x.
Problem 7: Find the solution to the initial value problem
Solve the initial value problem. 1 dy y cos e Ꮎ dᎾ = y(O) = 1 y4 +1 The solution is (Type an implicit solution. Type an equation using and y as the variables.)
(0) 5) Find the solution of the initial-value problem +16 y = 0, y(O)= 3, y' (O)=11 set 1d +16=0 x = 1 ± √ P-4116) = 12 = 1+(-7) 1 tl- - 1 ± √ P alio - 1 t Jo-Joa 234 0 2 = - y (+)=k, et ekzett (t) =-3k, e 3 + 4 ka eat -3lol y (o)=kietka K, (1)