e of y = -3 sin x + 5? (I Vミー

Q: (cos y + 2) = 2x and y(1) = 0 what is x when y = ? dx

A: Given : (cos y + 2)dy/dx = 2x and y(1) = 0   To find : Value of x when y = π?

Q: 19-x Evaluate ,* sin(x + y*) dy dx

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Q: m. n. Sex: [ tan³ x dx ex sec³ ex dx

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Q: cos z) dz 4 5.

A: Given: - The indefinite integral is, ∫e2zcos14zdz To find: - The solution of the given integral.

Q: dy/dx= tan^2 (x) / sec^2 (y), y=pie/4 when x=0

A: given,                 dydx=tan2xsec2y and           y   = π4 when x =0

Q: tanx dydx 1. 1+ y? 2cscx sin y(sin x)²r'drdxdy 2.

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Q: (2) Find it -ソ= x(lue) 2- Y=lu(Cosx )

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Q: cos z dz (4 + sin z)?

A: The solution of above integral is written in below steps.

Q: 2x + 2 Evaluate : sin :Ssi". dx. 4x² + 8x + 13,

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Q: (cos y + 2)2 = 2x and y(1) = 0 what is x when y = n? %3D dx

A: cosy+2dydx=2x and y1=0

Q: cos y` +y = tanck) %3D

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Q: I/3 1 dx Ja16 \1+ tanx. R/6

A: SOLUTION:Given let   I = ∫π6π311+tan xdx= ∫π6π3cos xcos x+sin xdx=12∫π6π32cos xcos x+sin…

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

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Q: + 3r?y – y³ = 4, find dx Given sin

A: Given that sin (y^2/x^2) + 3x^2y - y^3 = 4. We have to find the value of dy/dx.

Q: -(sin(xyz)) = O xô zô y

A: Partial differentiation of the function with respect to x means to differentiate the function only…

Q: RFind dy/dx in terms of x and y if cos²(8y) + sin²(8y) = y+4. |

A: Given query is to find the derivative of the given expression. Pp

Q: a) Find for 5x² – x³ sin y + 5e*y = 10 dx

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Q: d'y = 4 sec 2x tan 2x, y' (0) = 4, y (0) = -1 dx?

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Q: 2 dy Is y = sin t, a solution to = 1 – y? Justify-

A: We will prove the given statement.

Q: find dy Say y=3 Sin 8)

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Q: rcosA 2. r sin 0 dz dr de

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Q: 1 x³ y =e*(dsin²3x-tanx ) - 10 y'=? (fх +1)

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Q: TI 37t y = In(sin x), 4' 4

A: Given,         y=lnsinx , π4,3π4

Q: rin 2 cosh x dx. Vsinh? r + 4 sinh r + 2

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Q: dy 5): sin(x+ y) dx

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Q: Solve (1 + y) dx = (tanly-x) dy

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Q: F(x, y) = 3x – 4y3 + 5x°ys + cos(x) – 3 sin?(y) |

A: Given query is to find the partial derivative onnf the expression.

Q: d²y for 15 = cos x Find dx? cos x + a°y?

A: We need to find d2ydx2 for 15=cos x+x3y2. Let us differentiate both sides.                    0=-sin…

Q: 3- dx for y x sinx is equal to: a)2x cosx b) 2x sinx + cosx 2x c)x cosx+ sinx 2x

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Q: sin ydy (4 + cos y)²/3

A: We know that integration of xn is xn+1/n+1 +C. Here C is integral cosntant.       Here i attached…

Q: etany) dy cos?(y)

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Q: Find y' and y". y = cos(x?) y' - -sin (x²) ( 2x) y" =

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Q: 3) dy dx - y = sin x

A: We have to solve the given differential equation.   According to our guidelines we can solve only…

Q: The value of | sin(x + y) dx dy is 0 0

A: To evaluate the below integral. ∫0π/2∫0πsinx+ydx dy

Q: The value of sin(x + y) dx dy is 0 0

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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: dx ex sin2 (e

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Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: i) Solve: (1+ yNdx = (tan-y- x)dy. %3D

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Q: y' – 2y + y = 7e" + 75 sin(2x) %3D

A: Given differential equation is…

Q: (a) sin(r.ry) = + y²

A: To find: The derivative of sinπxy=x+y2. Formula used: The power rule of derivative states that…

Q: 3e7" sin(2y) 3e7 sin(2y) dy

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Q: e-3t sin (4t) y (0) ==

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Q: 2. Solve the ODE using Separation of Variables. dy dx 5x²+4 y+1

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Q: Find F dX, where x= 3 cost y= 1+3 sin 2r)

A: Given It has to find line integral of given parametrically curves Where

Q: L, 4x(1– x²)dx S 2 i) ii) -) dx ? (х + Sin?x

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Q: Solve the fo llowing D.- E y + y tan X Cos X %3D

A: