1847 In x 5)- b) Show that the ode (x + tan-¹ y)dx + y dy = 0 is exact, then find the general solution and 1+ y² particular solution if the point (0,0), belongs to the solution.

Q: Question 6 Find the solution. (4D3+12D2+13D+10)y = 0. /½(c,cosx+c_sinx) + cge -2x y = c ,xe-2* + e A…

A: given differential equation is  9D3+12D2+13D+10y=0            (i) Solution of the Homogeneous…

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Q: i) Show that the real solution of tanh x = cosechx can be written in the form x = In u + vu. Find an…

A: Note:  As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 2) / x² - y²) dx + (x² - ²xy) dy = 0 6 ,2 1 21 COCX

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A: trignometric expression

Q: SOLVE THE EQUATIONS

A: Given:

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Q: 921) Which of the following is an odd function A) cos xsin x 11 sec.x C). DUNK DOOV

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Q: Q17) The slope of the tangent line of the curve x² + y²=5 at the point (1,-2)- A) √√4x-4-√√5x-1 x-3…

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Q: a) _*? (1-x²)Z x+3 b) S- x2+2x+5 c) Find the value of sin(tan-1- sec-d) dx d) S x² Vx2+1 e) S Vx2+2x…

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Q: S(sec x tan x – 4x³)dx = - o tan x + х* + с sec x x4 + c sec x + x4 + c - sec x + x* + c - sec x x4…

A: Some of the properties of integration ∫f(x)+g(x)dx=∫f(x) dx+∫g(x) dx ∫xn dx=xn+1n+1+C ∫ (sec x tan…

Q: Question 6 Prior to running the Boston Marathon, a runner's personal best pace for a race is 10…

A: Given that Prior to running the Boston Marathon, a runner’s personal best pace for a race is 10…

Q: Find all of the solutions of 2 sin? (x) – 3 sin (x) – 2 = 0 between -T and T

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Q: How many distinct solutions does the equation sin(3x) = have on the interval [0,27)? 2 (A) 1 (B) 3…

A: Sine angle is positive in first and second quadrant only. Also,  To solve any trigonometric…

Q: 5. y + 4y = sin x + 3 cos x Ans: y = C₁ + C₂ cos 2x + C3 sin 2x + sinx-cosx

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Q: -8 31.sec (x-y) if csc x=513 and kay="1/5

A: We know, sec(x-y)=1+secxsecytanxtany

Q: intoyral (1+35)e² Sin} dz , Evaluate the two awhere Ĉi131= h, by any methods and compare the esulk.

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Q: Solve 2 tan" x-tan x-15=0 on the interval [0, z).

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Q: 6) Use Linear Property to find ( 1- 3 x4)' A) (1- 3 x4) %3D B) – 4x3 C) - 2 D) - 12 x3 7) Use…

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Q: 1) S“(cosx)" dx. 2) Г(-4). 3) В (10,9) 4) Sº x° e-2* dx Ja-x)i 5) o

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Q: Find all solutions to the equation cos(x) = √√3 2 in the interval [7, 2ë].

A: We can find the answer in the below steps.

Q: olve tho) Solve through reduction to exact equations (x-y-1) dx + (4y +x-1) dy

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Q: 1) (10) The equation given below; a) prove that it is complete b) solve [(2xy + 1)dx + (x² + 4y)dy…

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Q: 2T d) f(x)=5 sin (x+1)+2 e) f(x) = -2 cos 2(x+ 1) + 1_ 17. Find the rule of the sinusoi

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Q: Sz sin?m-10 cos2n-10 = – B(m,n) В (т,п)

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