Solve the given equation by using the variation of parameter. y" + y= sec² (x). %3D

Q: Determine whether the equation (3x + 2y)dx + (2x + y)dy = 0 is exact. Find the solution if it is…

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Q: Solve by separating variables. dy = 4x°y dx 3 (Type an exact answer.)

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Q: Solve the following using exact equation or linear whichever is applicable. (x + y) dx + (x − y) dy…

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Q: نقطتان What is the best way to solve this ?equation dy 4x2 + x %3D dx y + 4

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Q: 31x dy-y- -y salve thedifferen tial xP Equation

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Q: By using an appropriate substitution, solve the equation x'dy+(xy+2y² )dx=0

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Q: 9. (x +y) dx – (y – x) dy = 0; y (1) =1 %3D

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Q: (1–3cot.x)² dx cscx

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Q: Rodrigues' Farmula (x²-1)! %3D 2L L! dx' Solve for Pg cx), P4 Cx), PEC

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Q: The non-homogenous solution of the following equation by using variation of parameter method y" +y =…

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Q: Using undeterminate coefficien ts, Solve : d'y _q dy =9 e + 82* dx 3 3X 3 dx

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Q: dx J (5 + x5)2

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Q: Solve the following equation by variation of parameters ? y" + y = sin x

A: Replace y" by m2  to obtain the auxiliary equation. equate the roots to α±βi to obtain the values of…

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

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Q: If x3 + y3 = 2, find the value of at the point (1,1). dx?

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Q: Solve the equation 3(y* + 1)dx + 4xy³dy = 0. (Solution must be clear and concise.)

A: The given differential equation is 3y4+1dx+4xy3dy=0. The above differential equation can be…

Q: Solve the equation (y - x + xy cot x)dx + xdy = 0

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Q: dy et-y dx 2.

A: The given problem is to solve the given differential equation using separation of variables method.

Q: Solve by integrating factor by inspection: * 2 ydx — 3хy? dx — хӑу %3D 0

A: Explanation of the answer is as follows

Q: -3x +e xー2) dx

A: Simple integration problem....

Q: solve the equation by using Bernoulli's equations. y' + p(x)y = f(x) y ln y

A: Y’ +p(x)y =f(x)ylny divide equation with y both side we get y’ /y +p(x) = f(x) lny now consider lny…

Q: 3. (x – 4y – 9)dx + (4x + y – 2)dy = 0 -

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Q: (D² + 1)y = sec² x csc x X cSC X

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Q: Solve the diffrencial equation.  4x3 y4 - Lny+(y/x)/-4x4 y3 + (x/y)-Lnx = dy/dx

A: Mdx + Ndy =0if ∂M∂y =∂N∂xIt's exact diffrential equation and then solution :∫y constMdx + ∫(terms of…

Q: Solve the equations by variation of parameters y'' + y = sin x

A: Let us consider the given equation and solve it using the variation of parameters

Q: Solve using the variation of parameters d'y/dx? + dy/dx = 1/Sqr(1-cos²x)| %3D

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Q: Solve the attached equation by variation of parameters ?

A: d2ydt2+y=sec xy''+y=0m2+1=0m=±i α+βi, α=0, β=1 Yc=c1eαxcos(βx)+c2eαxsin(βx)Yc=c1cosx+c2sinx Y1=cos…

Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

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Q: Solve following diffrential equation x(dy/dx)+6y=9x^2

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Q: Using the variation of parameters, find the particular solution of (D2 + 1)y = sec x

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Q: Q5. Transfer the Cauchy-Euler equation to a constant coefficient equation and find the general…

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Q: Solve the equation: dy dx - (cot x) · y = (cosec x) y

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Q: Determine whether the equation (3x + 2y)dx + (2.x + y)dy = 0 is exact. Find the solution if it is…

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Q: 1 (x + y )dx = xy²dy

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Q: Qe! Solve! y? -y?+2g = Sin 3 X using D-opevator Method

A: Given differential equation is y3−y2+2y=sin3x It can be written as D3−D2+2Dy=sin3x Write the…

Q: Solve y" – 4y' + 5y = e*cosec x by method of variation of the parameter? %3D

A: Given that, the differential equation is y''-4y'+5y=excosecx. The auxiliary equation is m2-4m+5=0.…

Q: Roughly sketch into the plot the solution that corresponds to m(0) = 0 mg. %3D

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Q: 1 dx 5х e

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Q: (xy? -sin 2x) dx + (x²y – y)dy = 0 Solve

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Q: (х5 + Зу) dx — х dуy %3D 0

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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: x \dx xV 3 –x?

A: We need to evaluate the given definite integrals. each part is solve on each steps.

Q: Solve the equation by using the method of variation of parameters: d2y dy dx = X 2. dx

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Q: Solve by finding an I.F 1. xdy- ydx= (x* + y° \dx

A: given equation is                                xdy-ydx=(x2+y2)dx let…

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

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Q: Solve the given second order differnetial equation using variation of parameteres: y'' -4y =xex

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.