Compute the x(1)and x(4) for the function x(t) that satisfies the initial problem x"(t) + 2x(t) + x(t) = 2+ (t - 3)H(t – 3) x(0) = 2, x' (0) = 1 x(1) x(4) Answer: where = = 2e + 1 e e4 + 3e³ + 4 e4

Q: Find the solution to x’(t)=2x(t), x(0)=3

A: We have to solve the above differential equation.

Q: c. y' + 2y = x³ with y(1) = 2 Yo (x) = e Yp (x) = y (x) = y (x) = -2x 1½ e ²x³ - 2/ ( 10²x² -…

A:

Q: x(t) = x1(t) X2 2(t) Find the general solution of x' 2 = 23 13 ☑

A:

Q: If g(t) : 3t4 + 2t? – 7 find - g(0) g'(0) g''(0) : g'''(0) g(4) (0) (5) (0) ||

A: Given that, g(t)=3t4+2t2-7. Obtain the value of g(0). g(t)=3t4+2t2-7g(0)=3(0)+2(0)-7g(0)=-7 Obtain…

Q: Are y₁ (1) = x, y₂(x) = ze² a fundamental set of solution for the equation r²y" − x(x + 2)y' + (x +…

A: Given thatand  are two solutions of DE

Q: nctions f(x) = 3 + VI, 9(x) = x² – 3, %3D (a) (fo g)(x) (b) (go m)(r)

A:

Q: Q2: (a): Solve (i) (x² D² – xD – 151I)y = 0 y(1) = 0.1, y'(1) = -4.5 (ii) 100 – 20 + d? N dN dt? dt

A:

Q: 1) If h(a) = a + 1, find h-(x). (A) h-(x) = 3+ (x+ 2)3 (B) h-(x) = V – I (C) h-(x) = 2a3 – 3 %3D %3D…

A:

Q: Let F(x) = X S 12 Enter the exact answers. (a) F(12) = i (b) F' (12) = 2 √² + 25 dt. Find the…

A: Let . To find the following.