6. Find the solutions of the following initial-value problems: dr (b) xt-=-(X2+12). X( 2 )=-1 dr...
be clear and show all the steps pls thanks
6. Find the solutions of the following initial-value problems: хр (e) (1)=2 xp = 2(x2 + 12 ) , x(2) = -1 (b) xi xp = te + x. x(2) = 4 (c) t хр = 1e +x2 x(1) = 2 x (p) хр x 2xt, x(1) = 4 (e) t
6. Find the solutions of the following initial-value problems: хр (e) (1)=2 xp = 2(x2 + 12 ) , x(2)...
26 Find the solutions of the following initial-value problems: (a) cos(x + t)| _ + 1 | + 1 0, x(0) π 3 (b) 3(x + 2012ー+ 6(x +21)]/2 + 1 = 0. dt x(-1) 6
.2 4. Find the solutions of the following initial value problems. a. de = Xx(1) = 2 yat=x+ at b. tax = te i+x, x(2) = 4 A chemical reaction is noored t3
Question 9: Find the solution of the following initial- value problem, d x x² + xt subject to the initial condition dt 12 X = 1 at t = 1
5 please
and 17 only
3.2 Problems Find general solutions in powers of x of the diferential equa- tions in Problems 1 through 15. State the recurrence relation and the guaranteed radius of convergence in each case. 1, (x2-1 )y', + 4xy' + 2y = 0 2. (x2 + 2)y', + 4xy' + 2y = 0 3. y+xy y 0 4. (x2 + 1)y', + 6xy' + 4y = 0 5. (x2 3)y' +2xy 0 Use power series to solve...
need help in both problems, 31 and 33.
0 x0, x2 2 Graphically find all solutions to the following LP: xi - 2x2 31 min z s.t. ー4 r1, x20
(1 point) Consider the Initial Value Problem xi(0) 6 = 10xi-4x2 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. ,V2- and 12 (b) Solve the initial value problem. Give your solution in real form x1F X2=
(1 point) Consider the Initial Value Problem xi(0) 6 = 10xi-4x2 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. ,V2- and 12 (b) Solve the initial value problem. Give your solution in real form x1F X2=
(a) Verify that all members of the family y (5)1/2 (c- x2)-1/2 are solutions of the differential equationy y (b) Find a solution of the initial-value problem
(a) Verify that all members of the family y (5)1/2 (c- x2)-1/2 are solutions of the differential equationy y (b) Find a solution of the initial-value problem
Find the derivatives of the following functions (A) y=xt-x2 (B) y=x2 (C) y-3x3 + 4x -3 (D) y=x (F) f(x)- 100x100 (G) fx)- (H) f(x)=- 1-5r ) f(x)= (J f(x) - (x + 1)(x3 +5x + 2) (Requires quotient rule) 4+x For f(x) = 6x3, find f(x) and f"(x), and fm(x). For f(x)- 5x3 -3x2+x-20, find f(x), f"(x), and f""(x)
(1) In the following initial value problems, the number a is a real param- eter. Determine the values of a for which our fundamental theoremm on existence and uniqueness of solutions applies. Explain your an- swer. In(a x) with a(0) z'=V a2-x2 with 2(1)=2. π z'=tan(ax) with x(0)= 2