Use the method of undetermined coefficients to solve the following equations. dx (a) dt sin(t) + 2 sin(2t) x =

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A: we have to solve the integral

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A: 1) To prove the given equation 2) To find the value of w

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Q: Show that

A: Recall the property of definite integral:

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Q: f f(x)=sinx and f(x)=-1, calculate x for 0°<x <360°.

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Q: Determine the form yp using undetermined coefficients. Use A, B, C and etc. for constants. No need…

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Q: check whether this equation is true for all x:  dy/dx=y(x)   A) Check if y(x) = A sin(kx)…

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Q: Find fr es sin(t − s) ds -

A: Step 1: Step 2: Step 3: Step 4:

Q: Q: Solve y+8= Cos (x) ナ3sin(2x)

A: Given: y''+y=cos x+3 sin 2xCE: m2+1=0⇒m=±iCF: e(0)x( Acos x +B sin x)=Acos x +B sin x

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Q: 1 sin(2.x): sin(2x) -125 %3D (D²-1)' true false

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Q: y = sin(Ax + B)

A: We will find the Differential equation as following.

Q: 1/2 cos²(æ) sin°(x) dx COS 0.

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Q: The functions that model the predator (bear) and prey (salmon) populations are: Predator: B(t) = 9…

A: Functions that model the predator and prey populations are given by,

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 9 sin(t). The initial…

A: Solution:Given that, the function a(t) = 9 sin(t) and initial velocity of object is v(0) = -6 m/s.