GIve → r?-q² = 2ry - ir T(2,?-a') (2,-a²) + a?(z - 21)- L (2 -a* )(2, - 5.)( 2. -a+) %3D where 2, = x + iY=rei ! z = x-iy = r€° e*: Cose + i sin@ = Cose -ising I= 2T U Y (1- Prove: 94 |

Q: F(x) = 1+e siny x %3D -- = -15 e sin4X- se"co54X fca) = fco) = -8 R fくり) = fci-2) = 4.2398 > KMS %3D…

A:

Q: " + y = 12 cos 2x - sin x. A. " + y = sin 3x +4 cos x. A

A: Given: y''+y=12cos2x-sinx

Q: y" +2y = 2x+5-e-2r y""-6y"=3-cosa

A: These questions are about ordinary differential equation.

Q: y" - Y+1 = cos(+) u(

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Q: Find y' where y = tan(11a? + 8) v173 + 17 Answer: 51a2 y/ = sec2 (22æ)\/172³ + 17+ tan(11a² + 8)…

A: I have used the rule for composition of function and multiplication of functions

Q: Find y SX a) y = 3 sin (x² + 5x - 3) y' = c) y = sin" (6x) y'= b) xE5X+2 d) y = In (2x) Y₁ = Y y' =

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Q: xy2 y' = ey + sin y dy = dx x+y y' = x2

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Q: Find the solution. (D3 +7D2 + 19D + 13)y =0; when x =0, y=0, y' =2, y"=-12 (A y = e*cosx B y =…

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Q: If cos(4x – y) = x+y, then dx A -1 - sin(4x – y) 2+4 sin(4x-y) (B) sin(4x-y) 1 1+sin(4x-y) C) 1+4…

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Q: 6 2 5x y 18. 10x* y

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Q: e an is a solution or dirrerential equation y'ray=20* how?

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Q: Y"-2y'+2y=e^2x(cosx-3sin) by using variable coefficients

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Q: dx S (x² – 6x + 13)² 4.

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Q: I need the answer as soon as possible

A: As we know that, eiz=cosz+isinz                   ...(1)And,e-iz=cosz-isinz                ....(2)…

Q: x'+y° Q4. If u = sin- sin-'( -), Show that x+y ди X- ди + y- = 2tanx (2 + ду

A: If u=sin-1x3+y3x+y, then show that x∂u∂x+y∂u∂y=2tanx.

Q: 23 42 R 1 y=2 sinx 2 y = Which equation is represented by the graph? sin 2x 2 1 y-sin 2.r = 2x 1…

A: we need to find the equation of the graph

Q: Find the solution. y'= 1 + 3ytanx 3y cor x=ctanx + 3sinx – sin³x 3y tan?x=c+3sinx – cos?x © 3y…

A:

Q: Question 8 z = sin(x + y), x = u² + v², y = 2uv, find the partial derivative of z with respect to u?…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.