dy (f) Consider the differential equation dt = -0.2(1 – (1 – y. We have %3D dy < 0 for dt2 (6+2v3) < y < 4.

Q: Find the general solution of the second order linear differential equationd^2y /dx^2 −dy/ dx − 12y =…

A: We have to find the general solution of the given second order linear differential equation.

Q: Find the general solution of the second order differential equation below: dx d) dt2 + 6x = 0 dt

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Q: The integrating factor for the differential equation (3xy + y)dx + (x2 + xy)dy 0 is - X Y O - Y O

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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: Form the differential equation for the function y = a sin3x -bcos3x O a. y" - 9y 0 O b. 9y" + y = 0…

A: Given differential equation is: y=asin3x-bcos3x                                                (1)…

Q: dy 1- the general solution of the differential equation 2ху is 1+x2 y =........ dx

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Q: The solution of the differential equation x dy/dx = y + x tan y/x is: X

A: We solve the given differential equation.

Q: In the autonomous differential equation dx = x²(1 – x), dt

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Q: b) Find the regular singular points of the differential equation (x + 2)°(x – 1)y" + 3(x – 1) y'…

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Q: solve the differential equation (2x+y cos(xy))dx+x cos(xy)dy=0

A: Solution:                    The given differential equation is                   2x+y cos…

Q: Find the Homogeneous Differential Equation of: (x2-xy+y2)dx + xydy=0

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Q: Solve the differential equation. dz + 6e+z = 0 dt z = -In(-6e x - C)

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Q: The general solution of the differential equation x^2 dx - (y+1) dy = 0 is -

A: We have to find general solution of the given equation.

Q: dx -x+3у dt dy -3х + 5у dt

A: Given the differential equation is  dxdt=-x+3y......idydt=-3x+5y..........ii…

Q: An integrating factor for the linear differential equation Y'- 2y = 4x is H= O A. - 2x O B. 2xe2x…

A: Given differential equation is y'-2y=4x This is linear differential equation.

Q: The Integrating Factor (I. F) of the differential equation dy - 35()y = ( 1)® is x' + dx O In(a² +…

A: The objective is to find the integrating factor of the differential equation

Q: In the differential equation (xy+1)dx+x(x+4y-2)dy=0, the integrating factor is,

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Q: From the differential equation dy = x2 dx, what is the equation of y in terms of x as the curve…

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Q: Discretize the differential equation y"+y' +4ty= {t – )), y'(0) = 2, y'(3) = -2 with step-size h =

A: The differential equation given is as follows y''+y'+4ty=δt-32, y'0=2, y'3=-2 The central difference…

Q: (6x + y²) dæ + y (2x – 3 ) dy = 0 is a variable separable differential equation. -

A: Variable separable differential equation is any differential equation that can be written in the…

Q: The integrating factor of the non-exact differential equation (r*y + y°)dx – (3° + x*y)dy = 0. is 1…

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Q: Write an equivalent first-order differential equation and initial condition for y. y= -1+ ](5t -…

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Q: Solve the differential equation (xy² + x – 2y + 3)dx + (x²y – 2x – 2y)dy = 0 -

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

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy y(0) =…

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Q: solve the Differential Equation  dy/dx +4y = 3xe^-3x t dx/dt+3x=3t^4, x(3)=1

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Q: Find the particular solution of the first-order linear differential equation   x dy = (x + y + 2) dx…

A: To find the particular solution of differential equation xdy=x+y+2dx    x&gt;0y1=10

Q: The differential equation: 4 d'y (點) dy + x +y= x° is dx2 dx O Fourth order and non linear O Second…

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Q: The direction field for the differential equation dy = e*-y dx passes through the point y(-1) = 2 is…

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Q: The differential equation (1+ a) (dy dx) = 2rydz for y (0)- 1 has an integrating factor o (z) that…

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Q: Solve the differential equation (y+xy+ 1) dx + (x²+xy²+2y) dy=0 by forming integrable combinations.

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Q: Find the differential equation 3(x2 + y2)dx + x(x2 + 3y2 + 6y)dy = 0

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Q: Consider the differential equation dy dx = x(3+ 2y) with a particular solution y = f(x) having an…

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Q: (x* – y*)dx + xy³dy = 0 -

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Q: Solve the differential equation dy dx 3y3 1 %3D By the method of separating the variables

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Q: dy cos 2x; y(0) = 1 dx

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Q: dx 3x + x = 0 dt (a) Convert this second-differential equation into a first-order system in terms of…

A: We are given :dx2dt2+2dxdt-3x+x3=0 ---(1) Now, v=dxdt---(2) ⇒dvdt=dx2dt2---(3) Hence, using (2) and…

Q: The Differential equation dx + 2x (y + 1). (y + 1)³/2 is dy equivalent to

A: We have to find equivalent differential equation. To find equivalent differential equation we can…

Q: Discretize the differential equation y" + y' + 4ty = (t – (})), y'(0) = 2, y'(3) = -2 with step-size…

A: Given the differential equation y"+y'+4ty=δt-32, y'0=2, y'3=-2, h=34. We will be using the following…

Q: The differential equation (y")* +xy(y") =x of order 3 and of degree 4 Select one: O True O False

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Q: The differential equation (* + ) dx+x*y*dy =0 is a homogeneous differential equation of degree (2)…

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Q: The differential equation (x² + y² )' = XV is xy Exact Bernoulli Separable Homogeneous

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Q: Find the differential equation of y(x-6y) dx-x(2x-9)y dy=0

A: Solution is given below:

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

A: Use  term 'y ln (y)' instead  of 'x ln(y)' then we get the solution to DE.

Q: Consider the pair of differential equations dx dy (4 – a²) (y + 2), dt (x – 1) (y² – 1) . - x - dt…

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Q: Solve the differential equation 2√xy dy/dx = 1, x, y &gt; 0

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Q: dy Solve the differential equation: (1+ x) + y = 1+x dx with initial condition y(0)= 1

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Q: The point x = 0 is a regular singular point of the differential equation x²y" − x(x+3)y' + (x+3)y=0.…

A: The given differential equation is x2y''-x(x+3)y'+(x+3)y=0…

Q: dx x2-y2-xy 0 ху dy

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