Find the solution of the Bermoulli's equation dy + y = y² sinx . dx a. 2y = sin x + cos x + ce¬* b. 2y = sin x + cos x + ce* = sin x + cos x + ce* d. sin x + cos x + ce-* C. e. none of the choices

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A: Given differential equation [2x+ycos(xy)]dx+xcos(xy)dy=0. The objective is to find the solution of…

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A: We have to solve given problem:

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Q: Consider y@) + y" = 1+ cos( - t) Then a suit- able form of the particular solution can be written as…

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Q: dy 29 + y tan x: dx 1 (4x + 5)? y³ cos x

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Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -;…

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Q: dy The general solution of the DE cos?y is dx A y=tanx + C y=tan-(x) + C у-cos"(x) + с D y= sec?x +…

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Q: iven that y = sin? (t) and x = cos ( 4t?), hence find dx dy a. 8t sin (8t) sin 2t 8t sin ( 8t2 ) b.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Q3 Suppose that w = x² + y² + z² x = e" cos 0 ,y= e"sin0 ,z = re® aw аnd ar aw Find дө

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Q: and its solution EE{ Jm(VAmr) |amncos mô cos( /amict) m=Oh=1 и(r, 0, t) %3 + bmncos m0 sin(VAmict) +…

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Q: Find the general solution of (2x + y cos (xy))dx + x cos (xy) dy= 0 Show your solutions on a…

A: Solution

Q: (g) The solution of y' + (2/t)y (cos t)/t², y(7) = 0, t > 0, is Y COS (sin t)/t².

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Q: Q2: Show that if a is a constant, then u(x;y) = sin (at) cos (x) is a solution to .2 = a

A: Partial differential equation problem....

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Q: If x = 3 sin t and y =2 cos* t , then find dy at t = dx 4 O a. -0.67 O b. 0.76 O C. 0.56 O d. -0.86

A: Given x=3sin4t   ,y=2cos4t

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A: Method of undetermined coefficients is only applicable for differential equations with…

Q: sin(iny)dy is equal to * y (A none of these cos(ny) + C y cos(Iny) + C (D) -cos(iny) + с cos((ny) +…

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Q: Given: x = 0– sin 0; y = 1– cos 0 d'y Find: dz2 d'y dr? (1-cos 0) CO d²y dr (1-cos e) (1- -cos 0)…

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Q: 2n 37 So² S67 (x sin(y) – y cos(x)) dxdy = %3D

A: The given question can be solved as shown in step 2.

Q: If f(z, y) = e sin 8y, then fzy is given by: O 16 e sin 8y 16 e sin 8y O 16 e cos 8y 27 16 e cos 8y

A: We can solve it by taking partial derivative of both side two times as below

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Q: What is the general solution of (D² +1)y = 0 ? y = C1e cos a + C2e sin æ %3D Oy = C1e" cos a + C2e"…

A: Here the auxiliary equation is m2+1=0 => m= i, -i

Q: 1) Given x = Vu2 + E2 sin 0 cos 2 y = yu? + E² sin 0 sin 1 z = u cos 0 ds? = dx2 + dy2 + dz2 %3D…

A: Hi! As per norms, we will be answering only the first question. If you need an answer to others then…

Q: 4. Consider a3(x)y"" + a2(x)y" + a₁(x)y' = 0 (a) What's one trivial solution? (b) Suppose the…

A: Please see the attachment

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Q: Find the solution of sin 3ædx + 2ycos³3xdy = 0 O y? = sec 3xtan 3x + C O y? = -sec 3ætan 3x + C O y?…

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A: Use Bernoulli theorem to solve

Q: The function y = 4e3x sin x is a solution of dy Зу + 4е3х dx COS X %3! (A) True (в) False

A: Differentiate y with respect to x

Q: 13. Which of the following is the solution of [2x + ycos(xy)]dx +xcos (xy)dy = 0 a. x? +cos(xy) = c…

A: This question is based on solution of differential equation.

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A: We need to find the suitable form of the particular solution of the differential equation. We will…

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Q: let y'" (x) + y(x) = (0 be given What would be a suitable solution y(æ)? Select one: a. y(x) = x O…

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Q: Solve the following a) 2d²y_dy 3y = 25 sin 2x dx² dx d²y b) - 4 - 3y = 25 sin 2x dx² dx c) d²y dx² +…

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