-S₁ (3 + e-") 5(e-3) dt =

Q: 4 ( Calculate -2x dy

A:

Q: y''' -3y'' + 3y' -y = (e^x)(x+1) find the general solutions of this diff eq

A: Given differential equation is y'''−3y''+3y'−y=exx+1 Write the auxiliary equation  m3−3m2+3m−1=0…

Q: write out the terms for the first four periods of the difference equation y_(t+1)= ay_(t - by_(t-1…

A: The difference equation represents the recursive relationship for the sequence , where represents…

Q: tx' 3 - - (³ 4) X X = C1 (1) +02 10 + ()

A:

Q: f"(x) = 4x – 2 and f'(-3) = -3 and f(-3) = –6. Find f' (x) = %3D and find f(4) :

A: f''(x)=4x-2 f'(-3)=-3 , f(-3)=-6

Q: Differentiate: f(x) = 2ª + e² + log, 5 f'(x) = 2" In 2+ e² A 1 ® f'(x)= 2" +e² + : 1 © f'(x)= 2" +…

A:

Q: Zy-3z,+5zy -15%3D0

A: The given equation is. zxy-3zx+5zy-15z=0 This a non-homogeneous partial differential equation with…

Q: ex dx 4 e* - 1)

A: Here we integrate the function.

Q: y''-7y +10=0, y(0)= 2 and y'(0) = 4

A:

Q: det(A) Show that det(AB-') = %3D det(B)

A: Consider, Let A and B be the two n×n matrix, Now Consider, detAB-1 We know that the theorem, Let A…

Q: Find f'(z) of f(z) = e(z^3) - 5z.

A: Given :- f(z) = e(z^3) - 5z

Q: 7.4' t-y 2t-+-5y

A: The given differential equations homogeneous first order differential equation which can be solved…

Q: 4y'''+12y''+13y'+10y=0

A:

Q: Solve (D - D’-1)(D - D’-2)z = e3x-y

A: Given: D-D'-1D-D'-2z=e3x-y

Q: AF f(1) = 6 glD=5 h(1) = 3 f'(5)=-7 g'(5) = -11 (5) = 15 f" (-11) -2 - g" (-11) = 3 f(1) = 4 g(1) =…

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Q: Sve SVé -3 dt u = Ve' – 3

A:

Q: A = [-2 3] 1 4

A: Given, A=-2314 AT=-2134

Q: ln p= a + b/t + cln(t) + dt^2 Is this equation linear or non linear

A: To determine whether the below equation is linear or non linear. lnp=a+bt+clnt+dt2

Q: If h'(3) = 5 and h'(1) =-1, then h"(x)dz %3D (A) -6 (B) 4 (C) 5 (D) 6

A:

Q: -1 Find L s2–18s+40 s(s²–6s+10) |

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Q: 2y´´-5y´+3y=0   y1=e^x

A:

Q: 3. f(t) = -2t2 + 3t – 6 6. h(s) = s4/5 1 +1 9. h(t) = 1* + 21 + 2

A: To find the derivative of f(t)=-2t2+3t-6, use the power rule of differentiation, ddttn=ntn-1.

Q: x3-3x2+27 is congruent to 0 (mod 225)

A: Consider the following problem  x3-3x2+27≡0mod 225 Prime factorization of 225 is 32×52 Now,…

Q: Let f(x) - 6e* +2 + e'. f'(0) =

A: The given function is f(x)=-6ex+2+e1

Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

A:

Q: 3s+7, Find L'f 's2+9*

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Q: Solve the differeentail Equations for y"-2y'= 3x+9e^(3x)

A:

Q: Let h(t) = 3t3.2 7t-3.2 %3D | Then h'(t) is h'(1) is s! (7),.4 and h''(1) is

A:

Q: 7) | sec x. dx

A: Given:       ∫ sec5x dx

Q: y""+12y" +36y=0; y (0) = 0; y'(0) = 1;y" (0) = -7 ✓y""+y" - 2y=0 y" - 4y'-5y=0; y ( 1) = 0; y' (1)=2…

A:

Q: dy/dt + 2y = e^(4t). Using the guessing method because 2 is constant. I need help solving this…

A: Solution of the first order differential equations

Q: differentiate H with respect to G H-3e20G Select one: O a. H' = 60e 20G - 3/5G^(4/3) Ob. H' =…

A:

Q: (Choose 1 answer) [10 -2 Let A = 3 1 4 5 2 -3 (See picture) Find det(2A-) A. -8/13 B. 13/8 C. None…

A: To find the value of det2A-1 the following property of determinant  detαA-1=α·1detA

Q: Suppose F(z) = g(f(z)) and f(2)= 3. f(2)=-3, g(3) = -1 and g (3)=-4. Find F(2).

A: Recall: Chain Rule  Let F(x)=g(f(x)) , then F'(x)=g'(f(x)) f'(x)

Q: Which of the following is the general solution to the equation (2x+9)y" +(2x+7)y-2Y3D0? O a. y=c_1…

A:

Q: 2x 5. F(x) = "(5t – 1) dt

A: Here, it is given that F(x)=∫x2x5t-1dt

Q: Substitute the value of y' in 1 + (y)²

A:

Q: Find a function whose graph passes through the point (1,2/e) and satisfies x^2y'=y.

A: Given differential equation     x2y'=y   and initial condition  at x=1,y=2/e

Q: f"(z) = 7z – 1 and f'(-2) =-1 and f(-2) = -4. Find f'(z) = and find f(4) = !!

A:

Q: Let I +1 f(z) = I + 10 f(- 5) :

A: