1. Evaluate the solution for the following differential equation y" - 2y + y = 2. Find the general solution of 6- +12- -8y = 21e²z dy dx dr³ dx²

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A: We will sketch the region bounded and find boundary curve to use polar co ordinate for volume .

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We will sketch the region and also find boundary curve .Then convert every equation into polar curve…

Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS.

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Q: 2yy"=1+y'².

A: We have given differential equation ,  2yy'' = 1 + y'2 Here , substitute y' = u ⇒ y'' = u u'  Thus…

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Q: Is 1/8 - 10 ( 3/4 - 3/8x ) equivalent to -1/8 (59 - 35x )

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Q: 000 SUD 31 (i) y" +4y= 2 cos²x+10e

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Q: 2. Evaluate: √₁² √2 - x + x da −

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Q: ! 6-Find the value of the integral * U x3/2 e-x dx

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A: The solution of the question is given below.

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A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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Q: (a) Calculate the line integral (4x+2y²)dy where C' is the curve y = 2³, starting from z = 0, y = 0,…

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A: Given that f(x) = ex - cos(x) -2, Now, we will use Forward Differentiation formula  f'(x) = {f(x+h)…

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Q: d²y (a) Solve the differential equation +y dx² y'(0) = 0. got up (4) pap = sin(x) + cos(x) with y(0)…

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Q: 29. A body temperature of 50°F is placed outdoor where the temperature is 100°F. If after 5 minutes…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: 1. How many corner points are there in this LP problem A. 1 B. 2 C. 3 D. 4   2. Which of the…

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A: Given that                        F(x)=∫exeet2dt To answer the given question we shall use the…

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Q: Show that the equation 2²2 2 2²y Əy +2k c². əx² de ² Ət possesses solutions of the form 0 - kt Σ Cre…

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