The IVP whose solution is y=2e-Xcos(x)+ 3e¬*sin(x) is given b O d. y"+2y+2y=0, y(0)=2, y(0)=-1. O a. y"-2y+2y=0, y(0)=2, y(0)=1. O b. y"-2y-2y=0, y(0)=2, y(0)=1.

Q: Let y = y(x) and sin(y a) + In(æ + 2y) = 3. Which of the following is TRUE? 1+2 dz а. dy y? (2yva +…

A: Topic:- derivatives

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Q: The value of sin(2P) + sin(3Q) + sin(4R) at x = 5, y = −3, z = 2, where ▼ × F = (P, Q, R) and F =…

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Q: Find the second derivative of the given function g(y) = sinycosy A) - sinycosy B) -2sin2y C) -4cos2y…

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Q: .Q11) The general solution of y"-4y' +9y = 0, is: a) y(t) = c₂e²t cos(5 t) + c₂e²t sin (5 t) c)y(t)…

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Q: 3. Find an equation of the form y = ab* + c sin (“x) that fits the data below x | 0 1 | 2 |y | 4 |…

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Q: 2. Find sin(72) -dz. where C: z(t) = 2 cost+i (2 sint). Os ts 2m.

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Q: 5. Find L{f(t)} a. f(t) = sin?(t) + t b. f(t) = n² – 8e¬2t + (et + 1)² | c. f(t) = F, sin yt -cos…

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Q: If u(x, y) = e-2* sin(2y) and f(x) = %3D Select one: O a. -2e-2* cos(2y) O b. -e-2x cos(2y) • c.…

A: There are some possibilities in the answers. If we want to find first derivative with respect to y,…

Q: 4. Evaluate V9-x² sin(x² + y²) dy dx

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