for the 2nd order nonhomogenous ode y''+4y = 10sin(9pi x t)

Q: Find y' if 8√√xy + 6x = 3y. 4y+ 6√√xy+4x 3√xy O 3√√xy-4y 4x 4x-3√√xy 6√√xy+4y 4y+6√/ay 3.√√xy-4x O…

A:

Q: Q3. Solve in terms of Bessel's function, the ODE: x²y" + xy' +((inx)² +) y =0 z=lnx using a Rule…

A: Here, x2y''+xy'+lnx2+14y=0,  z=lnx.

Q: Q3. Solve in terms of Bessel's function, the ODE x²y" + xy' + ((lnx)² + ¹) y = 0 1²)y=0_z=lnx.

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Q: A)[ I )-2 Va-I B)[ 1 g(x) =2/-x C)[ ] h(x) = 2x+1 II) D)I ] k(x) =--x E)[ I p(x) = 2- V3x F) [ I…

A: Here we have to match the given function and the corresponding graph

Q: 2 Find an x² x³ +3 anti-derivative for each of the following: for x³ +3>0 x + 2 x² + 4x² 5 a x² +1…

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Q: Consider the function y = 2e4. Which of the following statements is true for y? O y'=y Oy = /v O…

A: given,

Q: Find the GS for x³y"" + 6x²y" + 4xy' — 4y = 1 − x − 2x² -

A: Solution:-

Q: Evaluate the derivative (r1(t) × r2(t)) where r1(t) = and r2(t) =. (Use symbolic notation and…

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Q: [xVtan x² sec* x² dx -

A: Given,         ∫xtanx2sec4x2dx

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: Let f(x)= 4x-1, h(x)= -x+4. Find (fo h)(-2). (foh)(-2) =

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Q: a) y = −8x² + 4x¯¹ − 2 b) f(x)=√√x - √x 5 c) g(x) = x³

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Q: Compute the derivative (r₁(1) r2(1)) if r₁(t) = (t¹0, 1³, tº) 73 10t r2(t) = (et, e³t, elor) (Use…

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Q: lim (x' – 2x* +5)= x→-2 O a. 22 O b. -11 O C. -13 O d. -18

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Q: What is the domian of f'(x)?

A:

Q: 5. Find y' for y=³√ 3√² + 3√/2

A: The given function is: y=3x2+53x As we know that, The Sum/Difference rule: f±g'=f'±g' The Power law:…

Q: Asap plz

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Q: Let f(x)=√4x² + 4x + 6 f'(x) = f'(5) =

A: To find f'(x)

Q: Find the derivative. 5 (2x-3)* f(x)=- OA f(x)=- <-40 (2x-3)³ O c. f(x) = OB. f(x)=- OD. f(x) = 5…

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Q: a) x³ - x f (x) = 2x² + x − 1 - b) f(x) = ax + b cx - d

A: Here we have to evaluate for a) and b) the value of f'(x).

Q: (x + 3)³ 12 16 11 f(x) Consider the function 4(х — 1)2 4 1 (x – 1)2 4. Note that - (x – 9)(x + 3)²…

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Q: Ex. 4) For F and G functions and given that: F(5) =-1,F'(5) =-3 G(5) = 4 G'(5) = 2 a) If P(x)= F(x)·…

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Q: 10 6. Evaluate -dx. (x – 1)(x² + 9)*

A: Given integral is We will evaluate the integral by using the concept of partial fraction…

Q: Assume that h[n]=(-1)"g[n]. What is the relation between H(2) and G(z) o HZ) = (- 1)" G(z) H(2)…

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Q: Provide the table of signs for both f' and ff'.

A: Given function is fx = x+334x-12 = x4 +12x-1+16x-12 +114. Also, given that f'x = x-9x+324x-13    and…

Q: f(x) = (4x² + 3x)² h(x) = 7 (4x³ - 6x²)³ b) d) g(x)=√10x² - 5x y = 1 3/(x ³√(x + + 5)²

A: We have to find out derivative for different functions.

Q: 7. (3, 5) is a point on the graph of y = f(x). Find the corresponding point on the graph of each of…

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Q: 4. a) Solve the equation 5sin-'x- 2n = 2sin-'x-3n 6) Graph, find x where f(x) = g(x), bounded by…

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Q: In this case, system (1.8) is expressed as (af (Xn-1)+bf (*n-2)), Yn+1 = f (af (yn-1)+bf (yn-2)),…

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Q: Given f (x) = x³ - 3x – 1,x 2 2, find (f~')'(-1)

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Q: Find the derivative of ƒ (x) = cos-1(In(4x²+1)).

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