dy 2 +-y = -x²y²cosx dx'x 2.

Q: 2. Solve Bernoulli differential equation of y' + xy = xy².

A: We need to solve the differential equation.

Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?

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Q: 1. Solve the linear differential equation of y' – 2xy = = X. swer:

A:

Q: Solve for the non-homogenous linear differential equation: y''+4y=cos^2(x)

A: Given; y''+4y=cos^2(x)

Q: What is the particular I solution of the differential equation (2x + y²) dx + 2xydy = 0 when x = 1…

A:

Q: Find the general solution of the first order differential equation (x+2) y′ + 4y = (3x + 6)-2 lnx.

A: Given: x+2y'+4y=3x+6-2lnx for finding solution of given differential equation, first we convert it…

Q: Find the general solution for differential equation.

A: To obtain the solution of the differential equation dydx=4e2x, multiple both sides by dx and then…

Q: Find the particular solution to the differential equation. 4y2 dx = 9x2 dy   when x=4 and y=-3

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Q: dy + ( 1+x)y = e -× sin2x dx

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Q: Find the particular solution of the differential equation with the initial condition given below.…

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Q: Determine the solution to the differential equation given by: y'=6y2/x

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Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: Find the general solution of the differential equation, (5e-3 sin (3x)) dx + (5xe-y + 2 cos(3x)) dy…

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Q: Find a particular solution yp of the nonhomogenous differential equation y(3) + y' = x sinx + x²e* +…

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Q: What is the particular solution to the differential equation +1+y = 2e- with y = 1, 2=-1 when x = 0?…

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Q: Solve the given differential equation by separation of variables. xdx = 2y y =

A: Use Separation of Variables to solve the given differential equation xdydx=2y

Q: Find the particular solution to the differential equation. 2y2 dx = 3x2 dy when x = 2, y = -1

A: this is variable separable differential equation will separate the variables on both sides and then…

Q: Find the solution for the second order differential equation y-4y = x sinh x.

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Q: 2x + 2xy2 y + 2x²y dy dx ||

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Q: (x²+y)dx + dy 0

A: This linear differential equation

Q: What is the linear differential equation of the bernoulli’s equation dy/dx-y[1/(2x)]-y^5=0?

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Q: 2. y-폼-y 1 ミ、 6x 3x2 ||

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Q: What is the particular solution to the differential equation dy/dx=xy2 with initial condition y(2) =…

A: To find the particular solution

Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION хdy — ydx 4. | = x³ dx y2

A: Given that: xdy-ydxy2=x3dx

Q: 4.y = C₁e-2x + C₂e³x

A:

Q: Solve the given differential equation by separation of variables. (ex + 1)²e-y dx + (ex + 1)4e¯* dy…

A: Given : ey+12e-ydx +ex+14e-xdy=0 To Find : Solution of given differential equation

Q: What is the general solution of the differential equation; y’ = 2x cos (x^2)

A: solution:-y'=2x cosx2solving the differential equation we getdydx=2x cosx2y=∫2x cosx2 dxlet x2=t2x…

Q: what is the particular solution to the differential equation dy/dx=3sin(x)(2-y)with the initial…

A: You need to apply variable separable metod to solve the given differential equation.

Q: What is the particular solution to the differential equation [x+(1+x)y] = 12 with y = 0 and =0 when…

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Q: y(4) – 16y" = e¯* + sin3x y

A: find complementary function and particular integral and add them

Q: Find the differential equation by eliminating the arbitrary constant/s. 1. ecosx = c(1-cosy)-¹

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the general solution of the differential equation: y" – 2y - 3y= - 3te. Fi: of the…

A:

Q: general

A: Please refer to the image below

Q: (2x3 – xy – 2y + 3) dx – (x²y + 2x) dy =0 - - -

A: The solution is given below in the next step:

Q: 2. Find the particular solution for the dy differential equation dx = 2xy and y = 3 when x = 0

A: We will find the particular solution of the differential equation , dy/ dx  = 2xy   .

Q: Write down a linear homogenous differential equation (with the smallest order and constant…

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Q: Find a particular solution to the differential equation using the Method of Un + 4y = x ex dx dx

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Q: Determine the general solution of the given differential equation. y(4) + 2ylI + 2yl/ -x = 3e" + 2e™…

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Q: Determine the form of a particular solution of the differential equation y" + 9y = e*cos3x + x² +…

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Q: solve for HOMOGENOUS DIFFERENTIAL EQUATION y2dx + (xy + x2)dy = 0

A: Given:- y2 dx  + (xy+x2)dy =0  To find:- General solution of given differential equation

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

A:

Q: Find the solution of the following Differential Equations by homogenous equation 7) y'=(y-x)

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

Q: What is the General and Particular solution of the Differential Equation 2x(y+1)dx-ydy=0? Where x=0…

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Q: Determine the solution to the differential equation given by: y' + 2y = 4 cos x

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Q: dy_ y²sec² (-) tan (-) dx x2

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Q: Find the general solution of the given differential equations. y" – y' – 2y = cosh(2x)

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Q: Find the special solution of ele differential equation. = 20x - 4x3 dy dx y with the initial value…

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Q: Show that given differential equation is not exact and hence find its general solution (x³ + y°)dx –…

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Q: The solution of the exact differential equation (ycosx + 2xe") + (sinx + x²ev – 1)y' = 0 is:

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Q: xydx + 2(x2 +2y)dy=D0; when x= 0, y= 1

A:

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.