y = e-3* (Acos 5x – Bsin 5x) + Cx; A, B and C are arbitrary constants

Q: If Z=x+iy and 12/=/2-81 of *= Hhe Value %3D

A: Given that       z = x+iy  and |z| = |z-8| Here we have to find the value of x .

Q: nsider the line y 3-*+3. at ic th

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Q: 2. If F = (3x² - 3yz)i + (3y²-3xz)-(32²-3xy find div curl

A: Given problem:-

Q: Solve y′′ + 4y = u2(t), y(0)=1, y’(0)=2

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Q: (ナ D-)ュ when x= y= 0o,y=y"- I, y CS

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Q: 2y" +2y=2sinx y(0)=0, y'(0)=1

A: Solution y=CI+PI CI=Characterstic integral PI=Particular Integral P.I=sin xD2+1Let D2=-α2so…

Q: Use chain Rule to find for 2. y = . +x²+x+1 I.W | 3. y = estn 3x Н.W

A: We have to find dydx using chain rule for the given function: 2.  y=1x3+x2+x+13.  y=esin 3x We know…

Q: d (7) Vtan²s+ 21 dt = dx

A: Explanation of the answer is as follows

Q: Solve Ytt = = 4yxx 0 0 Yx(0, t) = 0, Yx(1, t) = 0, Y (x, 0) = 0, y(x, 0) = 3cos(2nx)

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Q: y = In(x + 2) at [-1,2]

A: The given problem is to find the interpolating polynomial for the given function within interval…

Q: 26. у" + 4y' %3D sec 2x

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Q: 1. ysinx - xy2 = C

A: Given equation  ysinx -xy^2=C To eliminate arbitrary constant differentiate once and evaluate as…

Q: 2 3 dt. 0 1+t2

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Q: Differenitate: y = esin (z²+2z)

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Q: Find ƒyxyz if ƒ(x, y, z) = 1 - 2xy2z + x2y.

A: Given that, fx, y, z=1-2xy2z+x2y           ...(1)

Q: If x < 0 and y > 0, determine the sign of the realnumber. x/y

A: It is given that, x < 0 and y > 0

Q: Integraate :S, 22+x+! d>x 2.

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Q: 2. xy2 = 6 at point (6,1)

A: Follow the procedure given below.

Q: 3. Eliminate the arbitrary constants by isolation of constant y = x + C₁e* + С₂e-²x

A: In this question,  will form the differential equation by eliminating the arbitrary constants from…

Q: Show that Inx dx = -/Zn². x3/4(1+ x)

A: The given integral is: ∫0∞lnxx341+xdx

Q: Evaluate: ₁²-du So -3 (x² y²)²7 x+y du dt

A:

Q: Eliminate the arbitrary constant: ry = C(x – 1)(y – 1)

A: Differential equation

Q: Differentiate. ' a) y = 2cos(x²)

A: Hi, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: Eliminate Arbitrary Constant y^3(x+2y)=C^2y

A:

Q: Find fxy(x,y) if f(x,y)= e 8xy² fxy(x,y)=

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Q: A. Homo geneous Higher Ordered LDE 1. (D5 - 1204 + 520D3 - 112D² + 192D - 256)y- O

A: Solution

Q: Eliminate the arbitrary constants of  y=e^(-3x) (Acos5x - Bsin5x) + Cx Where A, B,  and C are the…

A: It is given that, y=e-3x(Acos5x-Bsin5x)+Cx. Obtain the first derivative as follows:…

Q: What is arbitrary constant?

A: we have to define an arbitrary constant.

Q: Eliminate the arbitrary constants: x^2y=1+cx

A: Introduction: The anti-derivatives of a function can be found using integral calculus. These…

Q: Eliminate the arbitrary constant/s: y = Ax^3 + Bxe^-2x

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Q: メy = Cy +1

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Q: 5 Use implicit derivation to find y. x² +y +z =e"-

A: Given,           x2+y2+z2=exyz

Q: Find the initial value of the relation y = 3(x+3)² + 7

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Q: Solid inside x2 + y2 + z2 = 16 and outside z = √x2 + y2

A: Given:

Q: dt 2 (t–1)(t²–1)²

A: By using partial fraction we can find the given integral

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: 17. zdy + (x sec² () - y) da = 0

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Q: 2 x + 4 y + z = 3 3 x + 5 y+2z = 2 3x+ y+ = 1 thesolutionis :

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Q: eliminate arbitrary constant: y = cx + c^2 + 1

A: eliminate arbitrary constant: y = cx + c^2 + 1

Q: In x y of y = 3

A: Find your answer below

Q: Eliminate the arbitrary constant in the equatio y = cz +c +1 Oy= ry'+ (y') +1 O y =y'+(y')² +1 O'y=y…

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Q: Express.  y=√(3x²-9)  as a composition of u(x)=√x , v(x)= (x)² , j(x)=3x-9

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Q: Evaluate: *₁ [²] d -3 [(x²-y²)²] x+y du du dt

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Q: Find: TxTyrTxyjTzy 下x TメッTxx,Te Tez デツッこ,四己 ーXそ

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Q: max z = x1 + x2 X1 + x2 < 4 X - x2 2 5 s.t. X1, X2 2 ()

A: We will solve this question from the graphical method . We will see that if the two inequality has…

Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

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Q: Find an antiderivative. x² + 1 x2 - 5x - 6 |

A: Antiderivative means integration. Here, the method of partial fraction is used for integration.