Solve the following: y"+y=sin(2x)

Q: Eliminate the arbitrary constant for y = 2 + Cq sin 4t

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Q: 1- Calculate the value of y if: a-y= sin "(0.25) + sinh (2). b- y= sinh (15)+cosh"(31)

A: Note: According to our guideline, we will answer one question. As the exact one is not specified.…

Q: 4x +1 = cos y?

A: According to guidelines we should have been able to solve only one question at a time

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A: An equation can be defined as a mathematical statement consisting of an equal symbol between two…

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A: The given equation is a second order linear, non-homogeneous differential equation with constant…

Q: Solve the equation (x+2) Siny dx + X cosydy=1 собуду=0

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Q: Find the general solution of y' = sin?y cos³x

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Q: 12. cos Vx dx

A: According to the bartleby guidelines I have to solve only first one in order to get the solution of…

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A: We will differentiate the given function.

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Q: The general solution of y 'tanx sin2y = sin?x + sin?y is

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Q: y = e2* sin 2x + e3* cos 2x

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Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e-5x(B cos 2x + C sin…

A: The solution is given as

Q: Derive y = e*+1 sin x³,

A: To find the derivative of the given function we use product rule of differentiation,  chain rule of…

Q: . Eliminate all the arbitrary constants in the equation as follows: y = Ae2x- e-5x (B cos 2x + C sin…

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Q: Solve the following Initial Value Problem. (sinx)dy/dx+ycosx=xsinx   ,    y(pi/2)=2

A: It can be solve using the method of integrating factor

Q: Obtain the general solution to the equation. dr +rtan 0=7 sec 0 tan e de

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Q: Find the general solution of the equation: y' -2y = 2 sin(3t).

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Q: (d) (sin(x + cos(2x + 3√)))'

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Q: cos(3t) sin(8t) dt

A: we use  2 cos A sin B = Sin(A+B)-sin(A-B) sin(-x)= sinx

Q: The position of an object attached to a spring is given by (t) 3 cos(4t) – ¿sin(4t). where t is time…

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Q: ∫cos(3t)sin(8t)dt

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Q: If dy/dx=sin(x)cos2(x)dx and y(pi/2)=0, whats the value of y(0)?

A: I am going to solve the given problem by integrating the given differential and by substituting the…

Q: 2x – sin y y' = x cos y

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Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e-5x (B cos 2x + C sin…

A: To eliminate all the arbitraty constants in the below equation. y=Ae2x−e−5xBcos2x+Csin2x

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. tan2y dy = sin3x dx

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Q: Verify that (e* sin y +3y)-(3x- e* sin y)y' = 0 is exact. Then solve the equation. 5.

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Q: solve for y'. y=sin-1[(ax+b)/(bx+a)]

A: Sin-1x can be written as asin(X)   So we have expression as y=sin-1(ax+b)(bx+a) We have to solve for…

Q: 1. [* sin' y cos' ydy 3

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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: If y = sin (m sinhx), find the value of (yn)o

A: Given that,  Differentiate w.r.t.                         . . .(on squaring both sides)…

Q: 3. In the equation y = sin1 x, if x = 0, then y = 0.

A: We have to use the inverse sin function and the interval -π2,π2. We have to recall the trigonometric…

Q: Find the general solution to the equation: y' = y sin(2x + 3) .

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Q: dy Solve sin -1 | = x +y dx,

A: Sin-1(dy/ dx) = x+y => dy/ dx = sin(x+y).

Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e -5x (B cos 2x + C sin…

A: Solve the above question.

Q: e'sinx y.cosx

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Q: Solve SS sinedx dy=

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Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2). b- y= sinh (15)+cosh (31)

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Solve by Bernoulli's Equation 2. sin y(x + siny)dx + 2x?cos y dy =0

A: We find the solution by Bernoulli’s Equation.

Q: dy cosh x dx + (sinh x)y = e-x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Solve the following Bernoulli's equation by using an appropriate substitution. sin y (x + sin y)dx +…

A: We have to solve the give Bernoulli's equation by substitution.

Q: 6. Find dy/dx and simplify y sin = - х

A: According to our policies we are allowed to solve one question at a time so kindly repost other…

Q: @2) find to dx 2. y=CoS 2' Sin e

A: To find the dy/dx of the given function

Q: Find the general solution (implicit explicit) to the following equation. or et y" – 2y' + 2y =…

A: We have to find the general solution of the differential equation y''-2y'+2y=exsinx.

Q: c) Se- sin(4t) dt

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Q: (b) If y = sin (m sinhx), find the value of (yn)o ·

A: Given   it has to find nth derivative at .

Q: 6y' = y*sinx У (0) — 1

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Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2). b- y= sinh'(15)+cosh (31)

A: according to the guidelines of bartleby I will do only first question please ask rest of the…