Find the general solution: yy" = 2(y')². Select one: O a. Y cos (x)x + e2" sin (x)x ln sin x O b. y = 1/(c1¤ + c2) O c. y = x3.5 (cı + c2 In ]x|) + 4x° O d. y = 22 -3x O e. y = (c1 + C2 x)e¯3 + ;e¯34 3x2 + 4x – 2 -

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A: Solution a) In the first position all 5 can seated but in second position 4 people out of five can…

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Q: Example 10.28. Solve the differential equations dy = 1+ xz, dx dz - xy for x 0.3, dx using fourth…

A: we need to use runge-kuta fourth order method.

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A: See Answer below

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Q: 2. Consider the following nonlinear equation e = 7x. (a) The above equation can be reformulated in…

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Q: Solve the two items using Integration by parts. 1. [x' v9-x? dx Se sin x dx 2.

A: To find the given integral by integration by parts :-

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A: To find the determinant of the given matrices by cofactor method :-

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Q: R+j@L anc

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Q: Question 7. both Z and Q. Find a subgroup of that contains Z but is different from

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Q: Given p > 2 a prime number, prove that: (p+1 |("") = 0(modp 5.1) for any natural number 2 snsp-1 ) =…

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Q: dt dy la) what is associated dineorijed System ar Hhe equilibrium lo,0) ? 10,.0) ! 11 ity of the…

A: This is a problem with the system of differential equations and their stability.

Q: Question 3. 900 Estimate the integral f(x)= fe sinx dx by using trapezoidal rule. You can use…

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Q: Example 10.29. Find the value of y(1.1) and y(1.2) from y" + y"y' = x°; y(1) = 1, y(1) =1, using…

A: Here we need to use the Taylor series to solve the given problem.

Q: I Example 10.24. If = 2e*y, y(0) = 2, find y(4) using Adams predictor corrector for- dx mula by…

A: Euler's modified formula  ym+1=ym+hf(xm+12h,ym+12hf(xm,ym))   Adams predictor corrector formula…

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A: Given: +*+34-12-3/42

Q: Given angle PSR is 90 degrees. calculate the sum of x and angle QSR in degrees. [Image 12 28 65° O…

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Q: I Example 10.36. Determine values of y at the pivotal points of the interval (0, 1) if y satisfies…

A: We can solve this using given information

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: To find the sum of the given series :-

Q: Find the area bounded by the curve y = 2x + x² – x³, the x-axis and lines x = 0 and x = 1. %3D

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Q: 1 6. Find dx. V2x2 -8x +2

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Q: owing permutations. 13. Р, 11. Р. 14. Ps 12. P,

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A: Using polar form and D'moivers theorem

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Q: (1 -5<t<0 is The Fourier Series expansion of f(t) =11+t 0<t<5 (-1)" nnt nnt sin 22- f(t) [[(– 1)" –…

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A: A card is drawn from a standard deck of 52 cards then :-

Q: I Example 10.30. Using Runge-Kutta method, solve y" = xy2-y2 for x decimal places. Initial…

A: Here we use the fourth order Runge kutta method for second order differential equations. We use y'=z…

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Q: Q5b A European call option with strike £60 costs £6. A European put with the same strike price and…

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Q: I Example 10.31. Given y" + xy +y = 0, y(0) = 1, y(0) = 0, obtain y for x = 0(0.1) 0.3 by any…

A: Here, we need to use Milne's method to solve this problem.

Q: 7. Find ſxsec¯'xdx using integration by parts made simple or otherwise.

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Q: Ces/21483/take X The output of this circuit is O Dependent on the value ofk 01 2 pts Question 28

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Q: Utensil Limited deals in the production of cups and bowls. The production requires machine and…

A: Machine hours per unit labour hours per unit Cups 4 3 Bowls 2 2

Q: For the following system: Use the Lyapunov function V(x) =r+r2+ to show that the system is stable.

A: The given system is: x˙1(t)=-x1+x2.............(i)x˙2(t)=-x2..................(ii) Given Lyapunov…