For the next three questions, consider the following differential equation: (2y sin r cos r- y + 2y?ev* )dx – (x – sin? a- 4ryev )dy = 0 %3D Let M be the cocficient of dr and N be the coefficient of dy. dy

Q: Find the indicated derivative. dy dx 2x² 1- 2 xª – 2x² + 3 for y -

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Q: Assume that T is a linear transformation. Find the standard matrix of T. T: R² R², first performs a…

A: First performs a horizontal shear that transforms e₂ into e₂+6e1, (leaving e, unchanged) and then…

Q: a² dq er f(q)

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find of the following. dx |x = /I-t 1. ly = Vi+t 3t X = 1+t 3t2 y = 1+t t + -1 2.

A: To calculate dy/dx of the following. 1.) x=1−t, y=1+t 2.) x=3t1+t3,  y=3t21+t3

Q: y=vx. What is y's differential? What would the value of v17 given x=16?

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Q: Solve the following differential equation d²y dy + 3–+ 2y dx 1 dx² 1+ ex

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Q: 1 Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01)…

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Q: X(t) = b cos(wt) + V a² – b² sin²(wt)

A: We will use differentiation rules to solve this question.

Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr…

A: We have to find out degree

Q: d cos 2x – x³ i. dx 3 + tanh x

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: Solve the IVP of differential equation and write the interval I. Explain the domain of the solution…

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Q: Solve the following differential equation : d?y + 2 cos x· 2 sin x dx2 dy +2 sin x dx dy + 2y cos x…

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Q: (a) Find the differential dy. y = cos(x)

A: Differentiate the given function with respect to 'x' and find 'dy'.

Q: IL. Solve the following differential equation by the form of substitution. 1. Dy/dx + y/x = x 2.…

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Q: Find the matrices of the following linear transformations from R³ to R³. The orthogonal projection…

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Q: Let y = f(x), where f(x) = (5x² + 6)1/3. Find the differential of the function. dy =

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Q: Solve the following differential equations, giving y in terms of x. dy (iii) cotx + 2y = sin 2x. dx

A: Let us consider a differential equation of the form dydx+Py=Q where P and Q are function of x  To…

Q: Determine the order and degree of the given differential equation: 1 dy -ky dr 100 dx

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Q: Find the derivative. d dx to 0 sin t dt 1 O A. 2x¹ sin (x³) 4 4 O B. sin (x³) C. 3x² sin (x³) OD. -…

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