function hlx) = x4+Sx23 at given values and simelify Evaloate the of the nde Pendent variable a.h(3). b. h(-1) co h(-x) deh(30)

Q: C. Solve the nonhomogeneous ODE. y" + 2y' + 5y = x² + cos3x

A: To solve the following differential equation  y" +2y' + 5y = x2 + cos3x

Q: F. Solve the following by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0

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Q: Q5. Use variation of parameters to solve the nonhomogeneous ODE. y" + 16y = sec³4x

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Q: Q1/ If y" + 2y' F 5y = e-Sint, y(0) = 0, y'(0) = 1 9=41²^² + (2

A: As per bartleby guidelines we only give first question answers.  Let's solve given diffrential…

Q: Ex/show that y = eax sinh bx satisfies y" - 2a y' + (a² + b²)y = 2 b2 e ax sinh bx

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Q: (a) Find dy – Ay, if y = 6 – 7x (b) Find the derivative of f(x) = 2(cos4x - sin4x) Solution.

A: Solved below

Q: B) Findfor the Implicit function: dx x² - sin(xy) + y² = 5xy

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Q: Eliminate the arbitrary constant/s: y = C1e^ax cosbx + C2e^ax sinbx where a and b are parameters (…

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Q: B. Solve the DE. x²y"+ xy' + y = tan (lnx) %3D

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Q: Solve the initial value problem : f'(x) = cosx + sec²x, f (÷) = 2 +÷. %3D

A: Solve the differential equation by separation of variable and use given initial value to eliminate…

Q: e" sin°(2x) (d) y = In 2x2 + 1

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Q: The function r'e- sin(7x) is annihilated by the operator

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Q: Solve by finding an L.F 1. xdy-ydx= (x²+y dx 2. dy+- sin r dx = 0

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Q: y tan x dx + In* ydy=0

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Q: determine the annihilator of the givenfunction. F(x) = 4e−2x sin x.

A: Given F(x)=4e-2xsinx The given function is of the form eaxsinbx Corresponding "Roots of polynomial"…

Q: )L{sinh(7t) + (2t + 1)U (t – 1)},

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Q: B) Find for the Implicit function: dx x2 - sin(xy) + y² = 5xy

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Q: e cos-1x 5. S V1-x2 dx

A: To evaluate the given integral.

Q: Solve the D. E J+gtanx = sin ex

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Q: Q1-Find dy / dx for the following functions: -2 2.8ln2 Cosh9x Y= 4 3 2 * Inxy cos0 log, 2

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Q: Q1- Find dy / dx for the following functions : el -2 2.8ln2 Y= 4 * sinh 9x * Inxy sino 3 log2 2

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Q: Find a positive value of k for which y=cos(kt) satisfies y''+25y=0.

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Q: 1. If x = e²" and y = sin(3t), find in terms of t.

A: According to Bartleby q&a I can attempt only one question

Q: 2. If y = e-* cos 2x, then f'(x) = %3D

A: Given : fx = e-xcos2x

Q: V3 Find cosh 0, tanh 0, coth 0. 2 B) If sinh 0 =

A: Given that sinhθ=32 We know that cosh2θ-sinh2θ=1 ⇒ cosh2x=sinh2x+1 cosh2θ=322+1=34+1=74 coshθ=72…

Q: determine the annihilator of the given function. Q. F(x)=17e3x sinx

A: The given function is  F(x)=17e3x sinx. It is of the form , xn-1eαx sinβx. n=1 , α=3 , β=1. The…

Q: Evaluate: (cosh²2r+ sinh²2r) dr A r +C -sinh 4r +C 4 B (c) None - sinh 2r + C 2r +C

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Q: Q2: Evaluate: * Jx* sin(1- x)dx?

A: use substitution method to solve the integral

Q: Derive the reductive formula for S sec" (x) dx.

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Q: f sinh3³ x dx Ocosh³z-coshz+C O3 cosh³r+C 3 Ocosh³z + cosh 2+ C Ocosh³ +C O None of the choices

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Q: b) y" + y' = sin 2x

A: here we need to find the particular solution of given differential equation. the solution is…

Q: Find d²y/dx² implicitly in terms of x and y. 4xy 5 cos(x) = -9 d²y dx² || X

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Q: Ex/show that y = eax sinh bx satisfies y"- 2a y' + ( a² + b²)y = 2 b² e ax sinh bx

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Q: x2 Q1 S (x sin x+cosx)2 dxp

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: -31 cosh 2t 7. (a) 2e- sinh 3t (b)-

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Q: Solve by finding an I.F 1. xdy – ydx = (x² + y² }£x y - sin x 2. dy + -dx = 0 ......

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Solve the initial value problem : f'(x) = cosx + sec2x, f(÷) = 2+. %3D

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Find the solution of the equation = e Cos y ax ay which tends to zero as x → 0o and has the value…

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Q: Find d2y/dx2 implicitly in terms of x and y 7xy + sin x = 2

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Q: Q5. Use variation of parameters to solve the nonhomogeneous ODE. y" + 16y = sec'4x %3D

A: Given non- homogeneous differential equation is: We have to solve this differential equation using…

Q: Evaluate: X + T/4 dx. -*/4 2- cos 2x

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Q: 1 S (4x4 – e3* + cos(2x) – + 5* ) dx - x-1

A: First you need to go through the formula of calculus. Specially go through the details of the…

Q: ex f(x) = x2 + V1 + 2x, 4 s x < 6 lim n- co i = 1

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Q: 15. Solve for f(x) the i I and dy.

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Q: Q1: Solve by using Euler's Method. dy = x + cos(y) : 0sxs1 :y(0) =1;h 0.5 dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2. Solve the ODE using Separation of Variables. dy dx 5x²+4 y+1

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Q: Find for the Implicit function: dx x² – sin(xy) + y² = 5xy

A:

Q: If f(x)=e^2x cos(3x), then f’(0) = ?

A: Derivative Question

Q: V3 Find cosh 0, tanh 0, coth 0. 2. B) If sinh 0 =

A: Given: sinhθ=32 To find: coshθ, tanhθ, cothθ. Solution: We know that, cosh2θ-sinh2θ=1 Putting…