(c) Obtain the solution of the differential equation, dy dr-y = x² when x = 1 and y = 1.

Q: Find the general solution for the differential equation: y" – 2y + y = 7-

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Q: 4. Solve the differential equation by undetermined coefficients: y" +y' – 6y = 2.x. -

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Q: (y²_xy) dx + x² dy =O

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Q: verify that the function y=e^-4x is a solution to the differential equation y'' + y' - 6y =0

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Q: Solve the differential equation. dy 3x2y2 dx for y + 0

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Q: Find the general solution for the differential equation: 8- y" – 2y' + y = 1+x?

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Q: Is x = 0 an ordinary point of the differential equation y″+5xy′+√xy=0 ?

A: We have to check

Q: Find the general solution of the differential equation y′ = −√x/4y

A: Given Data The differential function is y’=-√x4y.   Arrange the differential function y’=-√x4y,

Q: What is the general solution to the the differential equation3y" - y'- 2y = 10e *?

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Q: Find a particular solution of the differential equation x(y +2)y = 1 Where y(1) = - 1

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Q: The general solution of the second-order differential equation y"+y' - 12y = 0 is:

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Q: Find the general solution of the given second-order differential equation. y" - y' - 30y = 0 y(x) =

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Q: What is the general solution to the the differential equation3y"'-y' - 2y=0?

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Q: Find the general solution of the differential equation. y" - 324y = 0

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Q: Find the general solution of the differential equation xy + y′ = 100x

A: Given: y'+xy=100x

Q: dy 2x dx = 3xy + y? ;y(1) =-2

A: dydx = 3xy+y22x2

Q: Find the general solution of the first-order linear differential equation. dy dx x² x > 0 y =

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Q: Find the particular solution to the differential equation. x²e4Y dy = (x³ + 3) dx when x = 3, y = 0

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Q: Find the general solution of the given differential equation. y'' + y' + y = 0

A: To Find the general solution of the given differential equation.y'' + y' + y = 0

Q: Find the general solution of the reducible second-order differential equation x?y" + 3xy' = 2

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Q: Find the general solution of the differential equation y"+2y'+y=10e^-t

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Q: Determine the solution to the differential equation given by: y'' + 3y -10y= 0

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Q: e*+Y y =3x

A: The given differential equation is                                              ex+yy'=3x To solve…

Q: Find the particular solution of the differential equation. dy dx -9x³e-x²; y(0)=2

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Q: solve the first order homogenous differential equation (x² + æy) dy = (æ² + y²) dæl

A: The differential equation is given as x2+xydy = x2+y2dx It can be rewritten as dydx = x2+y2x2+xy…

Q: Solve the non-homogenous differential equation below dy 2y + x - 3 dx y + 2x – 3

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Q: y"-2y'+5y = e"sinx

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Q: Solve the differential equation     dy/dx = x² + 3 + e2x ;  y = −1 when x = 0

A: Given: dydx=x2+3+e2xy0=-1 To Solve: The given initial value problem. Concept:…

Q: find the general solution of the first-order linear differential equation. 3xy' − y = x−1

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Q: dy 2 y -x²y² dx

A: Solution: This equation is a Bernoulli Equation i.e. dydx+Py=Qyn where P and Q are functions x

Q: What is the general solution of the differential equation 2y"+y'-6y=0?

A:

Q: What is the general solution of the first order differential equation a csc (2) - B| da + a dß = 0…

A: Given that first order diffrancial equation is αcosecβα-βdα+αdβ=0  function α=fβsolution…

Q: Find the general solution of the ordinary differential equation -2x y"'- 2y'= - 5+e

A: To find The general solution of the ordinary differential equation.

Q: b) Determine the general solution of the differential equation dy y 6xe7x. dx

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Q: (x* – y*)dx + xy³dy = 0 -

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Q: Find the general explicit solution to the differential equation y′ − 3x2y = x2

A: The given differential equation is y'-3x2y =x2. We solve the differential equation by separation of…

Q: Specifically a differential equations problem. Question in pic below.

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Q: What is the general solution of the first order differential equation a csc (2) – B da + a dß = 0 if…

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Q: Find the solution of the Linear Homogenous Differential Equation Cofficients. D²(D + 2)*y = 0 =D(

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Q: Find the indicated particular solution of the differential equation. dy dx + 7y= -2e - ⁹x; x = 0…

A: Topic = Differential equation

Q: Solve the first order differential equation. (x3 + y4) dx + 8y3xdy = 0, when x = 4, y = 1/2

A: Explanation of the answer is as follows

Q: determine the general solution to thegiven differential equation (D2 + 9)3 y = 0.

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Q: Find the general solution of the given differential equation:  y''' + 3y'' - 4 = 0

A: Topic:- differential equation

Q: Find the general solution of the differential equation r*y" – 2ry/ = 6 In x. -

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Q: Determine the solution y2(5) of the differential equation, given that it is satisfied by the…

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Q: The general solution of the fifth-order differential equation y(5) + 4y(3) = 0. is:

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Q: Solve the differential equation dy/dx = 6e^(2x- y) when x O when y = 0.

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Q: dx x2-y2-xy 0 ху dy

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Q: solve the differential equation. xy3 dx + (y + 1)e-x dy = 0                         when y(0) = 1

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Q: The solution of the differential equation y' + 2xy = Ky when y(1)= K is

A: