3 f(z) = %3D I +3

Q: у" - 5y" 2y' + 24y = x + e-2x

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Q: (d) (x– 2)* + (y-9)* =1 (e) x² + y² = 1 (f) x² +(y+5)° = = 25

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Q: 3 y=-3 x=- √√9-y² V25– x – y’ dxdy=

A: The given problem is to evaluate the given double integral in Cartesian coordinates. We have to…

Q: Given this model: Y = B, + B₁ X₁ + B₂X2 + E where Y is the speed of innovation of the firm X1 is the…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 2s a) F(s) s2 – 2° s + 3 b) F(s) = s2 + 2s + 4

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Q: Higher Order L.D.E (D3+D2-5D+3)2y=0

A: Higher Order L.D.E (D3+D2-5D+3)2y=0

Q: (c) x (x1, x2, x3) = 6x1x2x3 + +3+x}-I (d) ¤(x1, x2) = e-rl %3D 2x3+2x3+2x}+5 %3D X2+3

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Q: 2) (D3 + 3D2 4D – 12) y = 0 (D) (E) (F)

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Q: n: y" – 9y = 0; e3x; e-3x

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Q: The f e²x +e-2x e2x-e-2x dx is -2x1 {A}={In 2x te e e2x-e-2x + C 2x {B} In|e²x −e-²x | + C {C} -2…

A: To solve the given integral using substitution.

Q: Solve the D.E ý - 25 +2y = 2 X73

A: Please read whole answer your doubt will be cleared.

Q: Find the market equilibrium point for these e y = 48 – 3x? a) y = x? +4x+16

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Q: | 2x²+ 4x- 5 x(x² +6x+10)? * To solve | -dx using the method of partial fractions, we write it as

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Q: [g(x )cx = 2 If then g(x )dx equals

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Q: Solve the D. E y-2ý+24 = 2 X +3 2y +2Y

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Q: A) xy' 2y + x'e*

A: These are all unrelated & lengthy problems. By Bartleby policy I have to solve only first one.

Q: 4. y(y² - 2x²) dx + x(2y² - x²)dy = 0 [Answer: x²y² (y² - x²) = = C

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Q: 1. y" + 4y' + 4y e-2x x2

A: The given differential equation is: y''+4y'+4y=e-2xx2 Now the characteristic equation of the…

Q: E (X² + Y²) E (XY)

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Q: d4y/dx4 + 2d3y/dx3 + d2y/dx2=0

A: Consider the differential equation, d4ydx4+2d3ydx3+d2ydx2=0 Assume y=em1x be a solution to the…

Q: = e-t et + 2e²t e2t-3et - е

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Q: 2y´´-5y´+3y=0   y1=e^x

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Q: y" - 2y' + 2y = e'cscx

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Q: 2x d³y d'y dx³ dx² 2 = d²y_a². dx2

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Q: y" + 4y' + 3y = 15 e^2x + e^-x

A: Given differential equation is: y''+4y'+3y=15e2x+e-x Solution of differential equation is sum of…

Q: S Ve3x dx A 2 X- e3 2. C + C ez* + C - 1 e3x + C 3. + C - 3. 23 B

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Q: y" - y' - 2y= e* %3D

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Q: y"+ 2y' +y =e* x-

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Q: e) xy+ y² = 1 f) x2/3 + y y²/3 = 1 g) x3 + y4 = 16

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Q: 1) e - 3 s2 -7 2) -la 2 (s – 3)5 7s 3) C-1 s2+4

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: у" +2y' + у %3 6 (t - 1) + e2t у (0) %3 0, у' (0) —0

A: The general form of a second-order nonhomogenous linear differential equation is given by…

Q: e x + > 2 , x 0

A: The given equation isx+1x>2x≠0

Q: 3x2-2 6. Find (a). + 5e*+3 (b). z(3z² – 4)° dz dx x3

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Q: a) z=-x² + y² c) z² = x² + 2y² e) x² + y²-z² = 1 b) z=-x²-2y² d) -x² - y² + z² = 1

A: match the following quadratic surfaces with the following equations (a) z=-x2+y2

Q: e-X f(x, у) %3D x2 + y2

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Q: y''-3y+2y=5e^3x,y1=e^x

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Q: x-e -2r -dx x²+e-2« *2(x-e-2«) A x²+e-2r xp- – 2(x-e-2x) dx x2+e-2r B -2x 2+e =21 dx x²+e-2¢…

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Q: C(-4,0) andr = 3 (x – h)2 + (y - k)2 = r2 0 = 1 + + +A + zX

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Q: d^x 2: +3. db4 3d ³ x db³ d²x -62 dx - 24x=0 db 27. db²

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Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

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Q: (e) x = 4 – z2 - (f) x² – y² + 4y + z² + 2z = 0

A: x=4-z2 is a paraboloid and its graph is as follows

Q: 1. y" + 4y' + 4y = e-2x %3D x2

A: We find the complementary solution Yc and Particular integral Yp The complete solution is sum of Yc…

Q: 4x1 -5x2 +3x3 +3x4 4 -I1 +x2 +3x3 +3x4 4 3x1 -4x2 +6x3 +6x4 8 -3x1 +3x2 +9x3 +9x4 12 +s +t

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Q: e3x-y+z (e*)³e² ey True False

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Q: 2s – 3 F(s) s2 + 2s + 10

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Q: 3s F(s) = s2 – s – 6 s - 6

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Q: determine L−1[F].

A: Given Fs=2s+3ss2-2s+5.

Q: Distanced is given by the distance formula.

A: Given points are P1x1,y1 and P2x2,y2. The distance between P1 and P2 is "d".

Q: D’(D² – 4)y = 3x+ 2e¬3* | y = 3x + 2e¬3x m° – 5 - 4m³ = 0 ® m' (m2 – 4) = 3x+2e-3* D (D² - 4) = 0 3…

A: