Solve 4y"+ 36 y = cosec 3x by using the method of variation of parameter.

Q: Solve using 2 techniques: (x^2+6y^2)dx−4xydy=0; x=6,y=9

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Q: Use the method of variation of parameters to solve. y" + 4y = 8 tant - "/2<t <"/2

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Q: e 3. dx V1-e-2* In 2

A: Since we are given with the multiple number of question and kindly repost the other question as next…

Q: x³ dx

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Q: -dx х2-1 2,

A: we have to perform some mathematical operations to solve this, then using partial fraction to get…

Q: Solve DE (x2-2xy)dy=(y2-2xy)dx

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Q: r10 xe -dx (x+2)(x+3)(x² – 1)

A: Using gaussian 5point quadrature

Q: Giyen (x +2yi)(-4j) = _ei, solve for x and y. Express the result in rec- tangular form.

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Q: Q1: Solve ýex+y 2 = cosh x + √√cosh² x − 1 + 7e*

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Q: Solve using variation of parameters

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Q: solve (8y'sec? 2xt 4x³e*%y+Gcsc*3x)dx-(3xue 3y-12y²tan 2x) dy =0 as an exact equation .

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Q: By method of integration by parts, solve: i. Sxe3x* dx

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Q: SOLVE THE FIRST ORDER DE. (x³ + y*)dx + 8y³xdy = 0 when x = 4, y = 2

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Q: Solve equatian. the differentiql dy = 80-2y * Such that y=70 when x=0

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Q: Solve and specify method used. x dy y dx х3 dx y2

A: Given DE is (x dy - y dx)/y2 = x3 dx  We solve this DE and we specify the method used.

Q: ues X=0,

A: Given,  F(x,y)=2x^2-4x+y^2-4y+1

Q: dx x2 — 2х — 4

A: I=∫dxx2-2x-4=∫dxx2-2x+1-5=∫dx(x-1)2-52

Q: Solve using the method of variation of parameters: y" + 4y = sec X. %3D

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Q: Solve "- 4y + 4y = cont v(0)=1 y(0) = 1. %3D

A: Given : y"(t)-4y'(t)+4y(t)=cos t with initial condition y(0)=1,y'(0)=1 PROPOSITION: Suppose yp is…

Q: Solve the equation using Variation of Parameters (D² + 1) y = tan x

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Q: Solve: dy dr = y +e*y?

A: The given differential equation is dydx=y+exy2. Rewrite the differential equation as,…

Q: dx/dt = square root5 - ex,

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: Solve dy = (1+ 3ytan a) da

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Q: + 2y = 1- x>0 dx

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Q: Determine the solution of 2x (y+1)dx−ydy=0

A: Determine the solution of 2x (y+1)dx−ydy=0

Q: y" + 3y² - 2 = e².sint (Variation of parameters)

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Q: ty" – (t+ 1)y' + y = t?

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Q: 2 V5-x dx 3

A: I=∫0125-x2x3dx

Q: Solve the 2 dy JX Following initial value proble x-2x 4 + T XI 4

A: We have to solve the given initial value problem.

Q: 8. dy V1+ /1+x -1

A: We need to evaluate the following integral ∫-18dy1+1+x

Q: Use the method of variation of parameters to solve. y" + 4y = 8 tan t - "/2<t<"/2

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Q: 3 24) [(1 -x² )² dx

A: To evaluate the given integrals

Q: Solve the D.EXY+Y=1/1/2

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Q: Solve by MUC: (D³ – D² + 3D + 5)y = e* cos 2x |

A: The given differential equation is (D3-D2+3D+5)y=excos2x Auxiliary equation is m3-m2+3m+5=0…

Q: Solve the equation using Variation of Parameter:  (D^2 + 1)y = sec^(2x)csc x

A: Given that: (D2+1)y=sec2x.cscx

Q: 2. y +4 dy

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Q: Solve y' + 3x?y = .2, sin(x)e-° with y(0) = –3. -x3

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Q: Solve xdy + (3x - 2y)dx =0 in two ways. Write your solution on the space provided

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Q: Solve by making the equation into an exact equation. (2 – x - y) dx + (3 +x + y) dy = 0

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Q: Se"dy 3.

A: We have to solve

Q: 3. 2X dy 2. %3D

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Q: SoSVI+ y³ dydx =?

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Q: ~2 (c) V2x + 3 dx 0,

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Q: Solve Yor メ= o-5 X (6)=0 %3D dy

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Q: Differential equation question, as in picture

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Q: Solve: 30 dx 1 -Sis vdv %3D * V - 10-0.01v2 15

A: Given: ∫030dx=v10-0.01v2-∫15vvdv

Q: Solve: Ux =x cosy 410y)= y3; ull,y) = es

A: When partial differentiation is done with respect to a variable, all other variables are assumed to…

Q: con 2. 體 + dt +13y = 3sin(2t)

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.