sec 2x cos? ydy - x (1 – sin y) dæ - sin y) dx

Q: b) S sin 2 x cos x dx

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Q: sec2 a tan ydx+ sec? y tan rdy = 0.

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Q: Solve the equation (x+2) Siny dx + X cosydy=1 собуду=0

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Q: Solve d'y dx² cot x dy - sin² sin²x.y - dx = cos x - cos³ 3 OHS X.

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Q: 6. Identify the proper trigonometric substitution and then solve the integral 1 dx (x² + 1)²

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Q: a) y = sin x² cos 2x 4.

A: Given: y=sinx2cos2x, y=cos4sec23x We know that ddxuv=vdudx+udvdx…

Q: I Eliminate the arbitrary constants -2x 2X Y = C,e cos 2× + Ge sin 3X

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Q: 1. y = sin(4x) 2. y = sin(4(x - )

A: We need to find period of given function.

Q: y = (sin x +cos x) sec x = sec² x

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Q: 2. S(cos4x – sin*x) dx

A: we know that , a 2 - b 2 = ( a + b ) ( a - b ) And cos( 2x ) = cos 2 (x) - sin 2 (x )

Q: Classify and Solve dy cos x +y sinx = cosx dx

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Q: Solve d²y dx² cot x dy - sin² dx sin² x.y = cos x - cos³

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Q: Solve (D2+1)y=sin x sin 2x

A: Note that the particular solution can be obtained using the following forms: (i)…

Q: (d) (sin(x + cos(2x + 3√)))'

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Q: Evaluate 1 dx 3 sin x – 4 cos x -

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Q: Ly = Ce* + C2 cos x + C3 sinx

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Q: Solve (D2+1)y = sin x sin 2x %3D

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Q: Find the solution of the equation cos y dy? which tends to zero as x → 0o and has the value cos y…

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Q: T/2 COSX dx (2 +3 sin x)

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Q: Q1: Find dy/dx for the following functions (solve four only):- 4) y = cosh[sin-'(x²Inx)] (5) y =…

A: Here are the step by step solution of the given problems:

Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

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Q: Solve the D. E J+gtanx = sin ex

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. tan2y dy = sin3x dx

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Q: sin?x dx - tan°ydy

A: Using variable separable method,

Q: following + (Co Sx) y Solve the Sin X dy tanx %3D

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Q: 2x cos x? dx 1+ sin² x² 8

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Q: Solve x' sec? y +3x tan y = cos x. dx

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Q: (c) tan x = 10t' (e) tan 12t-x¹2 (d) 16 sint- cos 17x= cost, = sin 12x.

A: For the derivatives of the given functions dxdt are as follows (d) dxdt=-(sint+16cost)17sin(17x) (e)…

Q: Evaluate the integral.

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Q: y = c sinx

A: It is known that ddxsinx=cosx and ddxcosx=sinx. We need to eliminate the arbitrary constant: c from…

Q: Cos ax sin 2x x' sin mx 13. dx, a>0 14. dx 15. dx, a>0 1+x

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: (#5) ſ cos³ (x)sin*(x)dx =

A: Given the function,

Q: (b) 는(cosx)=-sinx (d) VI+ tan x 1+* Q1) Show that: (a) (1+x) =1+6x (e) (V): *- () %3D

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Q: Solve xdx - x² (cot 2y + x2y cos 2y)dy = 0

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Q: x³ + y³ + 3 x² siny tan z = 5 az dz and əx Find ду

A: Given,          x3+y3+3x2sinytanz=5

Q: Solve by finding an I.F 1. xdy – ydx = (x² + y² }£x y - sin x 2. dy + -dx = 0 ......

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Solve d²y cot x dx² dy - sin² dx sin²x.y = cos x - cos³

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Q: Evaluate the intergrals. ∫ ex sin2x dx   show the complete solution. step by step

A: There are exponential function and trigonometric functions in the product in the given integrand.…

Q: S 4 cos (x) sin (x) dx = %3D

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Q: Solve: COS x y'dy +ye' sin x dx = 0.

A: The detailed solution of the problem is given in the next step.

Q: Given: = 0 – sin 0; y=1– cose Find: dz2

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Q: 1. S 2x sin-1 x? dx.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: B) Find and It x sin 3z and y= tan 3z dx

A: x=sin23xy=tan 3xWe need to find dydx and d2ydx2.

Q: | cos(x) sin(2x) dæ

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Q: Use Green's function method to solve the following BVP y" – y = cosx, y(0) = 0, y(ln2) = 2 %3D

A: The given differential equation is y''-y=cosx   ….(1) and the initial condition is y(0)=0 and…

Q: Use the method of variation of parameters to determine a particular solution to the given equation.…

A: Solution is given below