-S₁ (3 + e-") 5(e-3) dt =

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: 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: Find y'. y = (x² - 2x+2)(2x³ - x²+4) OA. 10x4 - 20x³ + 18x² + 4x-8 OB. 10x4 - 16x³ + 18x² + 4x-8 O…

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: 3) f(x) =9x/チxー3 %3D

A:

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

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

Q: Find y. x³y³ + 3x = 8y³ +1

A: Given: x3y5+3x=8y3+1

Q: (4³ + 6)%,' = x^(,5 + 6)5 y

A:

Q: Find A^ if A :

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Q: Solve the given equation by separation of variables. dN/dt + N = Nte^t+4

A: The objective of the question is to solve the given differential equation by using the method of…

Q: Exercise 1. Find 뿐 for y =DIn (골) (1A) + 3극 3z-2 z(r-1) (1B) 분 (1C) -= (1D) 를-3금 z-1-r z(1-1) (1E)…

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Q: 2y´´-5y´+3y=0   y1=e^x

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Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

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

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

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

A:

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

A:

Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of…

Q: If f(x) = 3/7(2 – 7a + 5), find f'(x). - Find f'(3).

A: Given:- f(x) = 3√x(x3-7√x+5)  To find:- f'(x) and f'(3)

Q: f"(x) = 2x – 4 and f'(-1) = -1 and f(-1) = -3. Find f'(x) = and find f(4) = %3D

A:

Q: Let f(x) ƒ'(0) = = 2e²+3 + e².

A: Given query is to find indicated derivative.

Q: Find  f'(a)

A: Here given function as ft=2t+1t+3

Q: Determine the particular solution of the ODE y” + lnx = -1 a. (-0.5 * lnx) + 0.25x b. (0.5x^2 * lnx)…

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Q: 1 Evaluate 1 e ,2

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Q: 8) y'+y=17 sin(2t), y(0) =-1.

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Q: If '(3) = -1 and h'(1) = 5, then "(r)dr= (A) -6 (B) 4 (C) 5 (D) 6 (E) 9 (F) 11

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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…

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Q: If Ax) = 2x+ 1and g(x) = x, Find g0)) %3D

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Q: P(0) = {0} O P(A^) \ {0} C P(A)°

A:

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: f" (x) = 7x – 1 and f'(-2) = -1 and f(-2) = -4. Find f'(r) = and find f(4) = %3D

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

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Q: 2y''' - 3y'' - 3y' +2y =(e^x + e^-x)^2

A: We have to solve the differential equation  For which we first solve the homogeneous equation and…

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: Compute the first four derivatives of h(t)=9t2−2et h(t)=9t^2−2e^t. a) h′(t)=   b) h′′(t)=   c)…

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