4. Find the differential equation of the family circles entered at (h, k) passing through the origin and (0,4). 5. Solve: (e-+1)-²e²dx + (e¯² + 1)-³e"dy = 0 6. Solve: sin a cos² y dx + cos²x dy = 0, y(0) 7. Solve: (2x - 2y-1)dx- (x -y + 1)dy = 0 = cial Use

Q: 2. y2 y" + (y')³

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Q: Form the differential equation by eliminating the constant 'a' from r=2a (sin 0- cos 0)

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Q: For the differential equation y'' + 42y' + 152y = 8 cos(8x) Answer to the previous part: P(r) = r² +…

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Q: у" + 25у %3D 5 tan? (5x) сos(5x) 2.

A: Given the DE is y''+25y=5tan25xcos5x. To solve this DE use the variation of parameters method.

Q: 3x² sin(2y) + (2x³ cos (2) + - (22:²³ + ²) y' = 0.

A:

Q: This graph represents the expected price of the house after t years.  Find a linear equation for…

A: 1) we have to find linear equation 2)we have to find year in which price will be twice using given…

Q: Solve the following Second Order Differential Equation y"+2y'+ y = sin (2t)

A: # Given ODE  is       y''+2y'+y=sin 2t‐‐‐‐1

Q: 1. Find a particular solution of the differential equation. Do not solve the full equation. (a) y" |…

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Q: Obtain the differential equation of the family of circles having their centers on the x-axis.…

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Q: y' + }xy = sin(x 4e¤2 y3 1

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Q: 3. a) Define Integrating Factor and Exact Differential Equation. b) Solve: (x2 + xy-y² )dx+ x² - 2xy…

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

Q: Find the solution to the differential equation: cosxcos ydx + sin x sin ydy 0 a. cos x = C'siny O b.…

A:

Q: 2. Form the differential equation from the circle passing through the origin having their centers on…

A: This question is based on forming differential equation by eliminating constant.

Q: (y – x)(y + x)(y? +x²)(xdy – ydx) = x°dx

A: We will solve this homogenous differential equation by a substitution y=vx So v=y/x

Q: Determine the solution of the differential equation in parametric form. Y = XY¹² + IN (Y₁¹²) xy 2

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Q: State the order of the given ordinary differential equation. (sin 8)y" - (cos 0)y' = 9 Determine…

A: Find your answer below

Q: Find a second order differential equation so that solves the differential equation for any choice of…

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Q: What is the differential equation of all parabolas with axis parallel to the y-axis?

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Q: C) The dependent variable y is missing in the given differential equation. Solve the equation by…

A: To solve the given differential education.

Q: Which is the differential equation of the family of parabolas with axis along the y-axis and with a…

A:

Q: 2) Solve the following differential equation 6y dx-x(2x'+y)dy =0

A: first we identify the given first order differential equation and find if it can be converted to…

Q: A solution of the Ordinary Differential Equation x?y'' - 2xy' + (x² + 2) y = 0, x > 0 is defined by…

A: 4th option is correct. y_p= xcos(x)

Q: solve the below differential equation: y''2+y'y'''=(y'/x)2

A: Given the differential equation  y''2+y'y'''=y'x2 To solve this differential equation.

Q: Determine the solution of the differential equation dy cos? x sinx dx + (cos³ x)y = 1 a. y = tanx +…

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Q: Solve the following nonhomogenous differential equation: d''''y/dx'''' + 2(d'''y/dx''') +…

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Q: The roots of the indicial equation of the differential equation x²y" + (6 sin x)y' + 6y = 0 at x = 0…

A: Given a differential equation x2y''+6sinxy'+6y=0. To find the roots of the indicial equation of…

Q: Find the ordinary differential equation of a circle which passes through the points (0,0) and (2,0).

A: We will find out the required differential equation for given circle.

Q: 3. Solve following differential equations by variation of parameters. (1) y" - 3y + 2y = xe³x (2)…

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Q: . By the method of variation of parameters, solve the following differential equation - y" + (1…

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