Which of the following(s) is/are possible to solve the given problem y" - y' +2y tan(x²) y'(-2) = 0, y(-2) = 0 I. Newton Divided Difference II. Centered Difference Approximations III. Backward Euler Method IV. Gauss-Seidel Method A.) I, Il and II B.) Only II C.) Only II D.) Il and IV E.) I and II

Q: (Chain Rule) Use chain rule to find z, at (u, v) = (0, 1) if z = tan and y = v cos u. if z = 2u+2v–2…

A: z=tan-1xy,  x=e2u+2v-2  &  y=vcosu Now when u=0 & v=1, x=e20+21-2  &  y=1·cos0⇒x=1…

Q: ;) and y(-3) = 1 a) Use Euler's Method with h = 0.1 to find y(-2). b) Use Euler's Method with h =…

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Q: Find an appropriate guess for y,p. You do not need to find the values of the coefficients. y" + 3y'…

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Q: + 3r?y – y³ = 4, find dx Given sin

A: Given that sin (y^2/x^2) + 3x^2y - y^3 = 4. We have to find the value of dy/dx.

Q: • 4. A car supported by a MacPherson strut (shock absorber system) travels on a bumpy road at a…

A: Given - the equation modeling the motion of the car is 80x"+1000x=2500cosπvt6 where x(t) represent…

Q: Find (2) by Parametric Functions method x = e ¹ cos 2t 1 y = e-²¹ sint # t =0] (Ans. -2)

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Q: 1 4. y = x² cot x x²

A: We can use the concept of chain rule of derivative in order to solve the given problem.

Q: 11. Which function has the shortest period? A. y 6 sin(3x) + 20 B. y = 8 cos(2x) - 4 С. y 7 соs(x) +…

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Q: 7. The period of the equation of motion given by x(t) = 6 sin (4tt) is ( a ) πs (b) 2 s (c) S (d)…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: 7. Find the first derivative of y with respect to x of the following parametric equations. x = 1 +…

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Q: 1. Linearize each function about the indicated xo and express your answer in the form y a yo + m (x…

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Q: Let A = {1, 2,...,: 10}. Find the closure and the interior of A in the following topo- logical…

A: In mathematics, topology is the study of the properties of spaces that are preserved under…

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Q: Bernoulli's Equation 1. y'=y=xy°e* -2x

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Q: äbäs 25 Q2: Find y(2) if D.E as give (25 mark) Given 2 +3y = sin 2.x, y(0)= 6 dx

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Q: 1. If ß be the angle between the lines of regression, show that tan B = (1 -) 0,0/r (o, + o,).…

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Q: 3. Multiple Choice Which of the following gives dy/dx if y = sin- (2x)? r 2 (A) (B) VI - 4. VI - 4x…

A: we have to tell which of the following gives the dydx if y=sin-1(2x)

Q: A. Bernoulli 's Equation e-2x 3 1. yl =y- xy°c %3D | 2. ( 3 tan X 2 cos y) sto xdx t tan xsin ydy -…

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Q: 8. Find y for xcos y = sin(x+y).

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.