The particular integral of the differential equation(D +5)(D – 5)y= secx - tan?x is -1 -1 10 1 25 1 25

Q: Find the general solution to the differential equation. dx = 3t2(x2 + 16) dt %3D 4 tan(4°) + C x =

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Q: d²y Find the particular integral of differential equation 4 +13y =e cos3x. %3D dr dx

A: We have to find the particular integral of the differential equation…

Q: The particular integral of the differential equation (D² + 3) (D+ 4)y = 3 + sin² x + cos² x is, 12 4…

A: Answer

Q: The particular integral of the differential equation (D² + 5D+ 10)y = 7 is O 10 10 7 O 7 7 10

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: (A) Find the integration factor of the non exact differential equation ev (x² + +1]dx + ( +2y dy=0…

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Q: determine the general solution of the given differential equation that is valid in any interval not…

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Q: The particular integral of the differential equation (D² +5D+10)y= 4 is 4 10 10 4

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Q: The particular integral of the differential equation (D² + 5D + 8)Y = 5 is O 5

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Q: the differential equation (ycos(x) + 2xe")dy + (sinx + æ²e" + 2)dæ =|0 is Exact Select one: True O…

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Q: The Particular Integral of the differential equation (D² – 25)y = 14e br is - O PI = 16 50 -5x O PI…

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Q: Find the particular integral of the differential equation belov (D² + 1) y = sec x tan x

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Q: Evaluate the differential equations: Integrating Factor by Formula a) (2y2 + 2y + 4x2)dx + (2xy +…

A: Given:  a) 2y2+2y+4x2dx+2xy+xdy=0b) y2cosxdx+4+5ysinxdy=0

Q: 6

A: Now,  we will find the particular integral.

Q: The particular integral of the differential equation(D² + 2) (D+3)y = 2+sin+ cos z is 4656O663 6

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Q: The particular integral of the differential equation (D² + 5D + 9)y = 4 is 4 9 4

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Q: The integral factor for the Linear Differential equation 4 - !y= x0 is -I Select one: O True O False

A: For the first order Linear differential equations:

Q: dy %3D ху + 3х — 2у — 6 dx -

A: We have dydx=xy+3x-2y-6 Now, we can write it as…

Q: The particular integral of the differential equation (D² + 5D+8)y =5_ O 8 O 5 o o o o

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Q: The particular integral of the differential equation (D+5) (D – 5)y = tan x × cot x is_ %3D 1 -1 25…

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Q: The particular integral of the differential equation (D² + 3)(D +5)y= 3+ sin z + cos² z is_ 8 15 O 6…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The Integrating Factor (I. F) of the differential equation dy - 35()y = ( 1)® is x' + dx O In(a² +…

A: The objective is to find the integrating factor of the differential equation

Q: The Particular integral (P.I) of the differential equation A : (D² + 6)³y = 4 is 216 4 216

A: To Determine :-  The Particular Integral (P.I.) of the differential equation A : D2 + 63 y = 4

Q: The integrating factor of the differential equation dy +(1+ dx is xe O

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Q: 1. 3y(x²-1)dx + (x³ +8y-3x)dy = 0

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Q: The Particular integral of the differential equation (6D² + 1)y = 27x is O 27x O 27x + 6 12x + 27 O…

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Q: The differential equation (xy2 + y)dy = (x + 1)dx is separable. Select one: O True OFalse

A: We have to find

Q: Show that xy = ae" +be* +x is a solution of the differential equation. d'y +2- -x+x-2=0. X dx

A: If we differentiate   the given  solution equation two times  and  get  the given differential…

Q: Verify that the function y = C1 sin x − C2 cos x is a solution of the differential equation y″ + y =…

A: The given function is y=C1sinx-C2cosx. Obtain the derivative of the function as follows:…

Q: The degree of the differential equation: 5 d²y In x = 0 is | dx? O 5 O 2 O not a polynomial O 4

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Q: The particular integral of the differential equation (D² + 2) (D + 4)y = 2 + sin² x + cos² æ is_ 8

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Q: Find the particular integral of the differential equation d2y/dx2 +3dy/dx+2y = e^−2x(x+1)

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Q: Which of the following is an integral factor for the complete differential equation x²ydx + (y + x3)…

A: Given: x2ydx+y+x3dy=0

Q: The degree of the differential equation 2 (d²y' (dy\ 3 +1 = 0 dx2 dx, none O not defined O 2

A: Degree of the differential equation is the power to which the highest order derivative is raised.

Q: The particular integral of the differential equation(D + 3) (D – 3)y= tan ¤ x cot a is_ %3D -1 3

A: We have to solve given problem:

Q: The integrating factor of the differential equation (x+x sin 2y) dy =2y dx js: A x-3

A: We will find the integrating factor as shown below

Q: The Particular Integral of the differential equation (D² + 4)y = 3 sin 2x is || PI = 3 cos 2x 8 PI =…

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Q: determine the general solution of the given differential equation that is valid in any interval not…

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Q: determine the general solution of the given differential equation that is valid in any interval not…

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Q: Find the Particular integral of the given differential equation d²y dx2 3x dx +5y sin(Inx) %3D

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Q: The Particular Integral of the differential equation (D + 36)y = 13 cos 6z is O PI = 13z sin &z O PI…

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Q: The Particular Integral (PI) of the differential equation (D2- 10D+ 21)y = 19e7= is O PI = 19ze O…

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Q: The Particular Integral of the differential equation (D³ + 10D² + 7)y= 8x is PI = 7 8x 8x+x-3 O PI =…

A: Explanation of the answer is as follows

Q: Find the general solution to the separable differential equations. a) 2xy dy = 1 b) dx - Int1-x? ,…

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Q: The solution of the differential equation dy x² using variable separable 2 x dx 4y3 +7

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Q: 4.Find the particular integral of differential equation (D +2D]y =1+x².

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Q: ) Prove that: (y -c} = C x is the solution of the differential equation dy dy 4x 2x dx 0= dx Then…

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Q: The particular integral of the differential equation (D+3)(D – 3)y = sec²x – tan?z is

A: Explanation of the solution is given below....

Q: What is the particular integral for the differential equationD-1)'y e +2x-3

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