The general solution of the differential equation z (1+ y²) dz + y (1+ 2²) dy

Q: solve the differential equation of (x^3 +xy^2-2a^2)dx+(x^2y-y^3-yb^2)dy=0

A: For differential equation ,M dx+N dy=0 is tobe exact if∂M∂y=∂N∂xthen solution is∫M dx+∫ N…

Q: y2(1+(y')2) =x+yy'  Find the general and singular solution of the differential equation

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Q: the solution of the differential equation y '' + 2y ' + y = 0, subject to the initial conditions…

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Q: The general solution of the differential equation d’y dy dx 2 -X-+Y3D2(nx dx

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Q: Find the solution of exact differential equations Xy-1/x^2y. dx - 1/xy^2.dy3D0

A: The exact differential form of a differential equation is written as M·dx-N·dy=0 where ∂M∂y=∂N∂x.

Q: Solve the differential equation: (2x - 4y - 3)dy=(x-2y)dy

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Q: The general solution of the differential equation d²y dy X- dx .2 +y3D2lnx dx

A: Given differential equation x2d2ydx2−xdydx+y=2lnx.......1. We have to find the solution of the…

Q: The solution of the differential equation y" – 2y' = x + sinx %3D

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Q: A particular solution of the differential equation ,"-3y'-4y = e* 4x 1S , = xe* /5

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Q: 6. (y2 – 3y – x)dx + (2y - 3)dy = 0

A: The given differential equation is; (y2-3y-x)dx+(2y-3)dy=0.

Q: The solution to the differential equation (5x² – 3)dy + xy² dx = 0 - %3D

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Q: Solve the differential equation: x 2y′′ + xy′ + y = 0, y(1) = 1, y′(1) = 1

A: Given DE is x2y"+xy'+y=0 given conditions are y(1)=1, y'(1)=1 Solve the given differential equation

Q: Find the general solution of the first-order linear differential equation (x − 2)y′ + y = 1, x >…

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Q: 1. Find the general solution to the given homogeneous differential equation: a. y"+3y"-y' - 3y 0

A: To solve the given homogeneous differential equation first we will write it in D-notation. Then we…

Q: Find the general solution of the non-homogeneous differential equation Y” –  2Y’  + Y  =  3 e 2x

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Q: y = sa solution of the differential equation y" + (-4x +1)y – 2y = 0, hen its coefficients c, are…

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Q: The solution of the differential equation. (1 + y²)dx = ( tan-1y – x)dy %3D

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Q: One solution of the differential equation y" + y = 0 is y = e¯². reduction of order, find a second…

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Q: the solution of the differential equation y '' + 2y '= y = 0, subject to the initial conditions y…

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Q: [6e + 2t [x1(0)] 2(0) dt Find the exact solution of the differential equation.

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Q: Find an integral factor of the differential equation in the form μ (x, y) = μ (x2 + y2) and find the…

A: Consider the following differential form of a function F(x,y):                ∂F∂xdx + ∂F∂ydy=0, let…

Q: (3x+y-5)dx+ (3x+2y-7)dy = 0

A: Given: 3x+y-5dx +3x+2y-7dy = 0 dydx= -3x+y-53x+2y-7

Q: _y -dx + In(2x – 2) +- x-1 dy = 0 Find the general solution of the differential equation.

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Q: The solution of the differential equation + 2y = a is, Oy = +c Oy= Oy = Oy= T

A: The objective is to find the solution of the differential equation.

Q: Find the general solution of the given higher-order differential equation. y"" - 3y" - 4y = 0 y(x) =

A: Given :y'''-3y''-4y'=0

Q: Solve non-homogeneous differential equation of 8y′′ − 2y′ − y = −x^2 − x −1

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Q: The general solution of the differential equation (D² +1) y= 0

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Q: xy' - y = x, y(1) = 7

A: The given differential equation is xy'-y=x, y1=7. Therefore the given differential equation can be…

Q: Find general solutions of the differential equation  (x+e^y)y'=xe^(-y)-1

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Q: The solution of the differential equation y"-xy' +y 0 is y = = O This option y = 1– x²

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Q: Find the general solution of the given second-order differential equation. y" - y' - 12y = 0 y(x) =

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Q: The general solution of the differential equation (x−3y+2)dx+3(x+3y−4)dy=0

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Q: The solution of the differential equation (x + 1)+o + 1) = 0 is A y=2+x B. y= C. y = x(x- 1) D. y =…

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Q: A general solution of the differential equation d3y/dx3-3d2y/dx2+4=0

A: The given differential equation,        d3ydx3-3d2ydx2+4=0

Q: (x - y) dx +(3x + y) dy = 0

A: The given differential equation is: (x-y)dx+(3x+y)dy=0...(1)

Q: the general solution of the differential equation (2xy- sec2x) dx + (x  + 2y) dy = 0

A: First, find the exact form of the equation to which it belongs.

Q: The differential equation 3y"-5 y-y-e 0 is a homogeneous differential equation. Select one: False

A: From the given problem:   3y''-5y'-y-ex=0   As we know that the standard form of higher-order…

Q: Solve the homogeneous differential equation zy -y = (z + y)²e

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Q: One solution of the differential equation -y" +7y'- 10y = 0 is y = e. A second linearly independent…

A: Given the differential equation-y''+7y'-10y =0

Q: y' +=y = -x°y³, y(-1) = 2 6.

A: See the attachment

Q: Using the method of undetermined coefficients, the modified form of a particular solution for the…

A: Solution of the differential equation

Q: ( 1-x+zy) . ول دل ران 3(x+2y)

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Q: (a) y"+y' – 2y = 1+x

A: To solve the following differential equation  y" + y' - 2y = 1 + x

Q: Find the general solutions of the differential equations y 3 +y"-y'-y=0

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Q: 2. (x+2y-1)dx - (2x + y - 5)dy = 0

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Q: Solve the differential equation: 2y'''+3y''-3y'-2y=e^-t ; y(0)=0, y'(0)=0, y''(0)=1

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Q: Find a general solution of the homogeneous differential equation y'= (2xy)/(x^2-y^2)

A: Homogeneous differential equation :   A differential equation of the form dydx=f(x,y)g(x,y) is said…

Q: y' - 5y = -xy, y(2) = 1

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