(d) : 2x² – 8x – 13 dx x² – 5x – 6 2.

Q: dy You need not expand your answer. dx Calculate 5x2 - 9x + 19 y = 2x + 4

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: Higher Order L.D.E (D2-2D+10)2y=0

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Q: d'y 5dy -3y = 0 dx 2- 2. Determine the general solution of

A: given: the differential equation is: 2d2ydx2+5dydx-3y=0

Q: Find of y3 = x* + 3x d?y dx2

A: giveny3=x4+3xdiffrentiate with respect to x3y2y'=4x3+3y'=4x3+33y2

Q: 5T 1 y=-2cos(Gx+っ)+1

A: Phase shift: -5π

Q: d'y 4x dx2 dy +6- + у %3D0 dx

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Q: d°y d5y 12 d*y + 86 dx+ 300 d³y + 625 dx² d²y = 0 dx6 dx5 dx³

A: Given linear differential equation with constant coefficient . The solution is

Q: Find ay in terms of x and y. dx2 x?y2 - 8x = 3 d²y dx?

A: Given that x2y2-8x=3. Differentiate both sides of the above equation with respect to x as follows.…

Q: (f) / x² + 4 dx

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Q: d²y Find xp y = d²y 口 %3D dx 2.

A: topic - double derivative of a function

Q: b) x d2y dy 12²-4 dx+6² = 2/1/2 dx²

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Q: x-1² -2t d'y %3D =? y =t°-8t+1 dx 2 1= 2

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Q: ) y( 3x*- xy - 7)d -x ( xy ty- 2x) dgy = 0

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Q: x² dx x²-3x+2

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Q: 2k2+3 00 k+ 3 et None Announce A E Px dx F

A: We have to check

Q: d²y — 6+ 13у %3D0 dx2 dx

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Q: d’y dx² 5 + 6y = 3x+3 dx

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Q: Find dy/d 5x²+xy+ N9 - Say %3D =D0

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Q: (x+y*)dx-2x² ydy = 0

A: Given: x4+y4dx-2x3ydy=0 For finding solution of given differential equation, first we simplify it…

Q: Find for the equation below. dx 6x2 - xy- y' = 6

A: In the question it is asked to find dydx of the following function given in the question.

Q: Find the solution 7. (x + 4y³)dy - ydx = 0

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Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

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Q: dx is is equal to: 2x/4-(2x)2

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Q: Q3 / Find d²y/dx² for the following; (5sec 3x) 2. x = t - t3, y = 2t + 5 1. d? dx2

A: The term represents the second derivative of the variable y. It can be obtained by differentiating…

Q: Q2: Find for y= (4x² +12)²(3x-20)² dx

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Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

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Q: dy 4x2 + x dx y + 4

A: Given : dydx = 4x2+xy+4

Q: The D.E. is d²y dx2 + xy = x³y3 second order and second degree third order and second degree O…

A: Topic = Differential equation Second order and first degree

Q: 6. (D2 – 6D + 8)y = e2x + sinx %3D

A: The given differential equation is: D2-6D+8y=e2x+sinx   So, the auxiliary equation is: m2-6m+8=0

Q: J 2x - 11 dx 2 x²+x-6

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Q: d?y Calculate dx2 y = -4x2 + 4x d?y dx2

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Q: 22 d'y dx² dy 7x- +16y=0 dx

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Q: Find d^2 y/dx^2 in terms of x and y. y8 = x9   d^2 y/dx^2

A: Given expression is, y8=x9

Q: d’y d²y D. = 3e* +4x2 dx dx2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: d³y 10- 7+ 196y = 0 dx3 dx2 dx

A: From the given differential equation; d3ydx3-10d2ydx2-7dydx+196y=0 So, we can also write as;…

Q: 3 c2x S *x² dy dx 4.

A: Integral

Q: d²y 7. Solve the equation dx2 dy 4 8e4x 10. %3D dx

A: Use auxiliary equation to find zeros and find complementary function CF. Find Particular integral PI…

Q: 3x+2y=D-14 x-Dy-3

A: the given system3x+2y=-14x=y-3we have to solve the system by the substitution method.

Q: Solve (D² – 3D – 4) y = 16x – 50 cos (2x)

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Q: 2d²y -X dx² dx +y=(b+1)(b +2)x(In(x))

A: Given : x2d2ydx2-xdydx+y=b+1b+2xlnxb This is homogeneous linear diff. eq.

Q: d'y Calculate dx2 y = -5x2 + 7x %3D d?y dx2 %3D

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: d'y (3x* – 5)(2.x² +9x–6) Determine the of y = 3 dx 7x

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Q: %3D18 SK+y%= {x-zy=9 11

A: Given query is to find the solution of the system.

Q: 3x² ydx + (y* – x³ ) dy = 0

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Q: 2x+9 Find ', if y dx x2 – 5x+1

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Q: d³y Find dx3 where y = e*(8x + 1)

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Q: Find d2y/dx2 for y = tln(t) + 9t, x = tet + 1.

A: Given,        y=tlnt+9t  and  x=tet+1

Q: - (D² +2D+5)y=e* sin 2x

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Q: Find ay/dx. 8x²y - y

A: