I. Solve the differential equation. (y-1ldv +x Cx+1)dy = o

Q: - Solve the differential equation (x² +y° )dx+ xy dy =0.

A: Topic = Differential equation As per guidelines  , At a time only one question can answered out of…

Q: Solve the differential equation (y? (v² x)dx + 2ydy = 0 ****

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Q: Solve and find the domain for the differential equation: (x2y2)dx + xydy = 0 , y(3)=-6

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Q: Q5A: Find the solution of differential equation y" + y = sin(x). %3D

A: The complete solution of a differential equation contains a complementary function and a particular…

Q: y' - 5y = -xy, y(2) = 1 %3D

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Q: 3. Find the differential equation having the solution as of the following: a. y = c,e-x + cze-2x + x

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Q: Q2-Solve the differential equation dy = y - xcos² (2 dx x

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Q: (b)Solve the differential equation : 1+y? %3D 2+3x dy with the initial condition y () = 0. %D dx

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Q: Solve the differential equation y' =7x - 4 y Using Runge-Kutt

A: Given,            y'=7x2-4y,   x=0.1, 0.2, 0.3,  . . . , 0.8

Q: xy メy = x2++? dメ

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Q: Solve the given differential equation. 16x3y" + 16xy' – y = 0 y(x) = ,x > 0

A: Given differential equation:                                                   16x2y''+16xy'-y=0…

Q: solve the differential equation p2-7p+12=0,where p =dy/dx

A: Given: The equation is p2-7p+12=0, where p=dydx To find the solution of the given differential…

Q: Solve the differential equation (D² + 4D + 1)*(D² + 6)°y = 3 cos(x/6).

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Q: Q2 Solve the differential equation dy x--y =- dx x + 1

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Q: 2.xy (6) 3. у'%3D x² - y?

A: Given differential equation is y'=2xyx2-y2.

Q: Q5A: Find the solution of differential equation y"+y sin(x).

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Q: Q4/ Solve the differential equation a) xy. = 1+ x+ y+ xy dx

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Q: dy x² +xy+y² dx x2 ||

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Q: B- Solve the differential equation (D² +1) y = x² cos 5x

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Q: Q1) A. Solve the First Order Differential Equations of the following 1. dy 3x² e-y %3D dx

A: Given: 1. dydx=3x2e-y The separable differential equation of the form M(y) dy= N(x) dx can be solved…

Q: Determine the degree of this differential equation: + ( - 3+y = 9 a²y ... dx3 dx2 dx None of the…

A: We know that dydx=y' and d2yd2x=y'' and so onThe given differential equation can be written as:…

Q: 2. 2 ydx + x(x² In y-1)dy=0

A: Solution is given below:

Q: Q2: Solve the differential equations: 2-= tan? dy 1- dx

A: Answer and explanation is given below.. For second question please repost

Q: y' +2- Jy = 0, y(1) = 0

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Q: Solve the Bernoulli differential equation dy 2 y3 +-y dx X x3

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Q: dy - = 6x(y-1)3

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Q: Solve the differential equation dy 2y3 dx yx? + y3

A: Given:            dydx=2y3yx2+y3

Q: Q1) A: Solve the differential equation: dy y = x. cos² 2 dx

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Q: a. Solve the differential equation by variation of parameters y" – 4y' + 4y = (x + 1)e²*

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Q: Solve the differential equation p2-7p+12=0,where p=dy/dx

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Q: (x+y)dx + xlnxdy = 0 What is the general solution of the differential equation?

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Q: a?dx = x/x? – a? dy 2 2

A: Use variable  separable form

Q: Solve the differential equation y’=xsqrt(y); y(0)=1

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Q: Solve the differential equation using [y(0)=1} to find C 2æydx + (x² + 3y) dy =

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Q: Q': Solve this first order differential equation dy 2 +y = -x²y2 cos x dx

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Q: y= C, e + Cze-2+

A: Formation of the differential equations

Q: solve the differential equation p2-7p+12=0,where p=Dy/dx

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Q: y +v3) æ + cz = c¡ e(-2 C2 e(-2-v3).

A: In order to obtain the differential equation consider the coefficient of x in power of e as roots of…

Q: (d) у'\ + 16у %3D0 IV

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

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

Q: (x*y- xy")(xdy + ydx) + dy = 2xdx

A: To solve the differential equation we use some special form

Q: Solve the exact differential equation: (a?y3 - 1 dr+y?dy 0 1+ 9x2

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Q: y' x y+x²y ) y (0) = -2

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Q: Find the differential equation whose solutions correspond to the following equation 1. y = C,e¬* +…

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Q: solution

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Q: Q1. Solve the differential equation to find y: (1+x) +y = v

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: Solve the differential equation 6x/1 - y? da – 5/1– x² dy = 0 %3D

A: Given: 6x √(1-y2) dx - 5√(1- x2) dy = 0

Q: (y2+yx)dr+x?dy= 0

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Q: A/ find solution for the differential equation below: Y"' - 6Y" + 11Y – 6 = 0

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

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.