y" = 2 Y y' = 5 + sin(y/x) 9x²y" = y + 3xy' 2xy²e(ry)² + 2x² ye(xy)² y' = 0 Choose... ✓ Choose... 1st-order exact ODE 2nd-order Euler-type ODE None of the above forms Scale-invariant ODE

Q: 1 88°F Mostly sunny The range of sec¹ (x) is: O (-00, -1] U [1,00] O [0) U( O O [0, ) U (,1] (2,4) Q…

A: To find the range of .

Q: 2. 1= j tan(4x³) ,sec²(4x²)xdx dx 1- I=31-2x) (In( 5. I= 3. 1= ftan? (3x) sec? (3x)dx

A: Here we have to find the value of the following integrations. Note :   As per our company guidelines…

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A: Let's find inverse function of given trigonometric function.

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A: Given: Let  and To Find:

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Q: * The solution of the ODE.11 y' = is sin-' (x) + sin-' (y) = c %3D None of these O sin-' (x) sin-'…

A: Method of separation for solving the first-order differential equation: The differential equation of…

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Q: Examples (4.3) Find y' for each of the following. (1) y = (7sin5x - cos/x) 3

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Q: hello, i'm studying ODE in Engineering Mathmatics Please give me the right answer of this question,…

A: xy''+2-2xy'+x-2y=0 y1=ex is a solution

Q: The 2nd derivative of the given functions is 3 ponts y = 3 cos (4x- 5) None of the above -48 cos…

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Q: Question 2 Find the linear approximation of the function at the given point. f(x, v) = 3 sinx - 7…

A: F(x,y)=3 sin x - 7 cos y at ( 0 , π/2)

Q: 1- csc x ... Differentiate: f(x) = sec x f' (x) = csc² a – sin æ ... f' (x) = – sin a – sec? x ...…

A: We have to find derivative

Q: 5. y= 3tan 2x+ tan³2x 6. y=tant 5x 7. y= csc*x – 2cot?x 8. y= 3tan 2x + tan³2x

A: We have to find derivative

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A: (Cos(x-y) + cos(x+y)) /2.cosx.cosy =?  We know that cos(x-y) = cosx.cosy+sinx.siny…

Q: y = sin(x) fonksiyonunun birinci mertebeden türevini x = 3-nokta aranokta yöntemini kullanarak…

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Q: | Find the derivatives of each of the functions in Exercises .In some cases it may be convenient to…

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

Q: 9. e' cos (x) =1+ sin (xy) 10. tan (x – y) = 1+ x2

A: Given the equations 1)ey cos(x)=1+sin(xy)2) tan(x-y)=y1+x2We need to find implicit differentiation…

Q: Find the right match for the following ODEs in the dropdown menu = x y y' = 5+ sin(y/x) Choose...…

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Q: Find the derivative of the given functions. 1. D;(x²cos 2x) 1 1 2. y =x + 7sin 2x 3. f(x) = sin?(5x…

A: We have to find

Q: 1 -dx 2-cos(x) Evaluate Select one: O arctan (/3 tan()) + C arctan (V3 tan())+C 2 O arctan…

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Q: 4. lim 0 sin ar 5. lim 0 sin br

A: From the given data:

Q: Consider the ODES x²y" - 2xy' + (x²+2)y = 0,

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Q: O Evaluate (u) B(3. 5). (b) B(3/2.2). (c) B(1/3. 2{3).

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A: It is given that tank temperature is x and efficiency ration is y.

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Q: Which of the graphs below is the graph of y = sec(2x)? Hint: Start with the graph of y = sec(x).…

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Q: d cos X

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Q: Find the derivative of the given functions. 1. D,(x²cos 2x) 1 1 2. y=x+zsin 2x 3. f(x)= sin?(5x + 4)

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Q: Evaluate fo" sin(x) dx. Which of the following shows the correct steps? sin(æ)|5 = sin(r) – sin(0) –…

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Q: Discuss the solution of piven ODE in form of table x* - y ;y(0) = 1 take h = (0.05 in the interval…

A: Using euler method.