Use Taylor's method of order two to approximate the solution for the IVB dy/dt = 2 + sin(ty), 1

Q: dy for each of the following: (2 p dx 5. Find (a) y=|(cost+e' – sint+3t³ )dt 3. csin x (b) y = (t2 +…

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Q: Vx6+7 (etan**) dy where ylny) = dx B) find (x2/3)( y v) sec

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Q: Use Euler's method to find the approximate value of y correct up to 4 dy =x-y² decimal places for…

A: The numerical solution of the differential equation is the value of the function that satisfies the…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to -1 √(-2¹ - 122³ - 30x²…

A: Since you have uploaded multiple questions, according to our guidelines we have solved first…

Q: Solve the Cauchy problem y'

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Q: Find dy/dx. X=sec(t), y=tan(t); t= 3 dy dy 2 а. с. dx 33 dx 3 dy b. dx 3 dy d. 3 dx 33

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Q: Given I 2 cost +35 and y = 6 sin' t dx %3D dt dy dt dy dx ||

A: Given: x=2cos t+35y=6sin2t Therefore, dxdt=ddt2cos t+35       =-2sin  tdydt=ddt6sin2t       =6(2sin…

Q: Find the differential dy, then evaluate: y= 2x3+ 6x-| when x= -2, dx= 0.l

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Q: = y - dy 3. 25 @ y (0)=1, y (0) =2 dx2 dx

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Q: dy/dt= 2e-t/8, t is greater than or equal to 0

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Q: 3x 9. Find *(t² - t) dt. d dx '3

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Q: Find dy dx dy dx y = T/4 3√x sin (1³) dt

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Q: find dy/dx

A: According to Leibnitz  rule of differentiation:

Q: find dy/dt.

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Q: 6. S sin (3x – 1) dx. cos Vi dx. 7. Evaluate th dx. Show yo 8. 3 dx. S (! + 1)(t – 1) dt. 9.

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Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint…

Q: Find the value of dy/dx at (1,0) of 2re" – In() = 4y² + 2a sin

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Q: y = tan (5t - 21 +1)

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Q: 2. dy = y[sinx + ln (yecosx)]dx (Suggested Subst.)

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Q: Find dy/dx if y³ = In x* Answer: Find dy/dx if sin-(2y) = x® + yª Answer: Find dy/dx if In(x*y) = 2x…

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Q: What is the solution of the equation dey/dx=y/x+tany/x

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Q: ation (1+xcos 2y)dr-x'sin 2 ydy = 0. %3D

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Q: Determine the difference approximation of the problem d dy] (1+ x?). - y = x² + 1, y(-1) = y(1) = 1…

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Q: y' = xy – Vx

A: Solving

Q: Ex.1. Use Euler's method to determine an approximate x=0.2 from the IVP dy = = 1 -x + 4y, y (0) = 1…

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Q: Find dx/dt. Since x + y =225, then %3D 2x dx + at 2y.dy =D0 %3D This Simplifies to dx = dt dy %3D

A: Given: x2+y2=225 To Find: dxdt

Q: Determine the general solution of 6d²y dx² +5 dy dx - 4y = 0. Find the particular dy solution when y…

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Q: then A(-2u - 20) = -2 ---B 5 and Au 3 Au = 2 4

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Q: dy 4) Find by implicit differentiation, where dx y5 + x²y° = x* + y.

A: The objective is to find dy/dx by implicit differentiation

Q: dx A point is moving along the graph of the function y = sin(8x) such that = 6 centimeters per…

A: In this we have to do the differential of given function and then use chain rule so I'm providing…