stion 3 Determine the form of a particular solution y, for y"-4y' +4y 5x2-6x

Q: Min Z= 4X1 + 2X2 ST: 3X1 +X22 6 X1+X2 24 X,X2 20 9. Min Z 4x1 + 5x2 ST: X1+ 2X22 5 6X1+ 6X2 2 18…

A: Que 1: The given problem is:

Q: y - 4z = O X + y -4z = 0

A:

Q: Integrate S(csc 3x + cot 3x)²dx A. cot 3x –csc 3x –x+ C -cot 3x -csc 3x – x+C -를cot 3x- sc 3x + x +C…

A:

Q: Q4: Use undetermined coefficient annihilator approach to solve. y"" – 5y" + 6y' = 10x² – 5x – 6 +…

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Q: lution: 14x 2y-10 2y = 4 + 4x H solution: 0 is Home wor H 100 2. 13 10 # www

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Q: Max Z=3 x1+2 X2 s.to -X,+2x2 <4 3x1+2x2 S14 using Graphical Method X1-X2 S 3 X1 , X2 20

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Q: 12. Exact equations: Solve: 3xy²dx + (3x²y + 4y²) dy = 0 O ry + y* = c O r?y² + y* = c

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Q: 2y" – 7y" + 12y' + 8y = 0

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Q: Find the particular solution for (2y3 – x³) dx + 3xy² dy = 0 when x = 1, y = 1

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Q: (a) Form the difference equation whose solution is yk = c1 + (c2+ csk)(-1)*, where c1, cz and cs are…

A: Given that the solution is yk=c1+c2+c3k-1k. To find the difference equation of this solution: For,…

Q: y" + 2y²+2=0 Find y(x), then simplify y" + 2y + 2 = 0

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Q: Solve using variation of parameters or reduction of order (D² – 3D + 2)y = (1+e²x)¯2

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Q: Kindly answer B- #6 I- #1

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Q: 2y³ + y y4 + y² + 1 (e-y. V5+ e-y

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Q: Determine general solution of: y(5) - 8y" = t² + 6t+4+et

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Q: 2 - ry + y + 1 1 y = +x - 1; y" =

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Q: X」+iyュ-Xz+iy2* =xロ Y」=V,ロ しr%3DV 2.

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Q: The general solution of xy" - xy' + (24x* – 24 y = 0, is .a - C,xY,(2 /6x) b O C,xJ,(2 6x) +…

A: We have to find the general solution of the differential equation…

Q: Find the solution. (4D³-3D + 1)y=0 A y = (₁+₂) ²¹/²+c₂e² Get ® By y = (c₁ + ₁₂x) e */2² + c₂e²r x/2…

A:

Q: Find D,y, given y = 3e" (2x – 5)*. D.y = 3e [4(2x– 5)'(2)]+(2r-5)'(3e") = 24e" (2x – 5)' + 3e"…

A:

Q: Solve x = - " 3x x 3x y= 4y + 2z у + 2y || || || 4 2 2 11 с

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Q: 9x-y+z=3 10x-y+z=8 Find (x,y,z)

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Q: Eliminate the arbitrary constant. y=Ax³+Bx³ (A B 7xy" - x²y + 15y = 0 D x²y '- 7xy" + 15y = 0 Cx²y"…

A: To find- Eliminate the arbitrary constant. y = Ax5 + Bx3

Q: y2(1+p2)=x+yp what is y?

A: Given data:     The given expression is: y2(1+p2)=x + yp.   The given expression can be written as,

Q: 1 4. (1+2)y/ + 2ry = (1+2)y

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Q: Find the general solution of æ²p+ y²q = (x + y)z.

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Q: 2 Ⓒz² = x² + y² 2

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Q: y(4) + 3y" - 4y = 0

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Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: (1 point) Use the method of undetermined coefficients to find one solution of y" - 4y +6y 7. y =

A:

Q: 2. Use undetermined coefficients method to solve 1 yi = 4yı + 2 - 3e", y2 = 9y1 + 6y2 + 10e'.

A:

Q: Find for the following: y = 4x° – 2x 322 – 4x – 14

A: Recall: d[a f(x)± bg(x)]dx=a d[f(x)]dx± b d[g(x)]dx; where 'a' and 'b' are constants. dxndx= n xn-1…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.