Solve the given differential equation. 16х?у" + 16ху' -у %3D0 y(x) = ,x > 0

Q: Solve the differential equation y` = (196+ y)²

A: The given differential equation is: y'=196+y2

Q: Solve y'y" = 1.

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Q: (3y²-x²» = 0 ;when x = 1, y = 1 2y4

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Q: 3. у'-4у+3у3D 2 сos x + 4sin x

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Q: Is g = {(x, y) ∈ [−5, 5] × R : x^2 + y^2 = 25} a function from [−5, 5] to R.

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Q: 1 2 17/ + 1

A: Introduction: Like a non-homogeneous differential equation, method of undetermined coefficients can…

Q: 1. my' +y = my

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Q: Solve the differential equation. y' = e^(3x + 2y)

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Q: Determine an appropriate substitution and then solve the differential equation. ху'%3D у In(ху)

A: We will substitute v = xy to solve the given differential equation. after substitution the…

Q: Solve the given differential equation by undetermined coefficients. у" - у' + = 5 + eX/2 y(x):

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Q: 2xyy' = y² = x²

A: We can solve the given differential equation.

Q: Solve the 2nd order differential equation: y-xy-(y)=1

A: Given the differential equation is  y'-xy''-y''3=1

Q: У(ху + 1)dx + x(x'у? + ху + 1)dy %3D0

A: Given the differential equation is          y(xy+1) dx + x(x2y2+xy+1) dy = 0.

Q: (4x'у — 15х? — у )ӑx +x* +3у? - х)dy-0

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Q: 3.- Show the differential equation is exact, then solve the equation. dy _ 3x2 - 6ху Зx? — у dx

A: To show that the differential equation is exact and to find the general solution

Q: (4) + 4y + 6у + 4у +у%3D0|

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Q: y"-7y'=(2x-1)sin 2x

A: Differential equation

Q: 2y" + 3y' + y= 3sin x+ xe

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Q: Find the solution of the differential equation using Variation of Parameters.

A: Given differential equation is y'''-3y''+3y'=exx The solution of the differential equation using…

Q: 2x³y' = y(y² + 3x?)

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Q: The rate of change of a population of bacteria in a petri-dish can be described as the difference…

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Q: 5. Find the solution of the differential equation using Variation of Parameters. у" - Зу" + Зу 3 E

A: Given y'''-3y''+3y'=exx

Q: Solve the given differential equation by undetermined coefficients. у"+у'- 30y %3D2х y(x) =

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Q: IN THIS GIVEN DIFFERENTIAL EQUATION, x²e5x (AX+B)E^5X a. b. (AX^2+BX+C)E^5X (АХ-B)E^5X C. d.…

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Q: 2. y + xy = 6x/y %3D

A: Derivatives represent the change in variable with respect to change in another variable. When the…

Q: (2 + ye^xy)dx – (2y + xe^xy)dy = 0 Solve the differential equation -

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Q: If the given three vectors are coplanar, then find the value of x. A = i-2j + 3k, B = xj + 3k, C =…

A: A, B, C are coplanar.So

Q: Find a general solution of the differential equation: у" — 4у" — Зу'+ 18у %3D Зе*

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Q: y"-7y'= (2x –1)sin 2x

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: Solve the differential equation. (Assume the independent variable is x.) у" - у' — 20у 3о

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Q: One solution of the differential equation is given. Find the general solution. 5x у3) + Зу" - 15у'-…

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Q: IDENTIFY THE TYPE OF THE DIFFERENTIAL EQUATION GIVEN BY X² y" + 5xy¹ + 3y = 0, AND THEN, ху SOLVE IT…

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