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

Q: Find the general solution of the given higher-order differential equation. y(4) – 2y" + y = 0 y(x) =

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Q: 2. In the differential equation 4(3x+ y-2)dx-(3x+ y)dy =0, we let

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Q: 3. In the differential equation (2x+ y)dx- 3(2x+ y+4)dy=0, we let the substitution dy =,

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: 4. In the differential equation (6x–3y+2)dx-(2x- y-1)dy=0, we let the substitution dx=

A: Given differential equation, 6x-3y+2dx-2x-y-1dy=0              6x-3y+2dx=2x-y-1dy…

Q: Find the general solution for differential equation.

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Q: Find the solution of the given homogenoeus differential equation. (x + 2y)dx + (2x +y) dy = 0

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Q: 1. Find the general solution of the differential equation: d°y d'y dy , dy - - dx6 dæ3 dx2

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Q: determine the general solution of the given differential equation.  y(4) − 4y″ = t2 + et

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Q: 3. Find the general solution of the differential equation d²y +y = e2x + sinx + 2. dx2

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Q: Find the general solution of the given differential equation. x dy/dx + 3y = x3 − x

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Q: 1. Describe the solution of the differential equation ydx – 2xy dy = 0.

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Q: 2. Find the particular solution to the differential equation dy 2y? dx cosec (x) if the point…

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Q: Find the general solution of the given second-order differential equation. y" + 36y = 0 y(x)

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Q: ( 3x - y +1) dx - ( 9x - 3y – 3 ) dy = 0

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Q: determine the general solution of the given differential equation.  y‴ − y″ − y′ + y = 2e−t + 3

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Q: Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0…

A: The initial value problem is,

Q: Find the general solution for differential equation.

A: To find the general solution: dydx+4xy=4x Solution: dydx+4xy=4x On simplifying further we get:…

Q: 7. In the differential equation 4(3x+ y-2)dx-(3x+ y)dy = 0, we let the substitution dw =

A: the differential equation 4(3x+y-2)dx-(3x + y)dy=0, we let the substitution dw=??

Q: What is the particular solution to the differential equation y -2x 3y2 – 2 with y 1 when dy x= 1?

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Q: If 2x3+3ycos(xy)+(cx2y2+3xcos(xy))y'=0 is the exact differential equation then c =?

A: The exact differential equation is defined as the differential equation of the form Mx,ydx+Nx,ydy=0,…

Q: 5. y'+y = xy³; y(0) = 4

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Q: find the general solution of the given differential equation. 8.y″ − 2y′ + y = et/(1 + t2)

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Q: Obtain the general solution of the given differential equation: x2dx+y(1-x)dy=0

A: Given that: x2dx+y(1-x)dy=0

Q: 2. Solve the differential equation dy + xy = xy "Bernoulli" dx with y(0) = 1/2.

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Q: 3. Find the general solution of the differential equation: dy dy 5 + 6y = e2r - dx? dr

A: Given differential equation       D2-5D+6=e2x

Q: 1. Find the general solution to the differential equation: y" = 4y' = 12y = tet

A: Given differential equation

Q: 5. Find the solution of the differential equation 2dy + ydx = y'(x-1)dx (Bernoulli)

A: given that

Q: Find the general solution of the separable differential equation dy dxy (2x + 3) e3y

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Q: 1. Find the general solution to the differential equation dy 1 - dx

A: Find your answer below

Q: (5) Find the general solution for the exact differential equation (x² – 4xy – 2y2)dx + (y? – axy –…

A: The given differential equation is x2-4xy-2y2dx+y2-axy-2x2dy =0

Q: dy y/x + x²/y²; y(1)=0 dx

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

A: A differential equation is an equation in x,y and derivatives of y. A linear first order…

Q: 1. Find a general solution for the Differential Equations dy x- -y = x dx

A: As per company guidelines, we need to answer only one question. So, kindly repost the other…

Q: (5) Find the general solution for the differential equation (x² – 2xy – y²)dx – (x + y)²dy = 0.

A: It is a first order non linear ordinary differential equations and also it is a exact equation…

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

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Q: 1. Find the general solution of the differential equation: dy, dy + dx3 dºy dy = 0 dx6 dr5 dx?

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Q: dy dx 6e²x-y

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Q: dy = 1 + y/x dx

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

A: Given that a non homogeneous differential equations and we solve by using general property of…

Q: 18. The solution of the differential equation 2xy = x² + 3y² when y(1) = 3 is dx

A:

Q: 2. Find the general solution of the differential equation: dy dy 5 + 6y = e3x dx - dx?

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Q: In the differential equation 4(3x+ y– 2)dx– (3x+ y)dy = 0, we let the substitution dw=

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Q: 3. In the differential equation (2x+ y)dr-3(2x+ y+4)dy = 0, we let the substitution dy =

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Q: 4. Find the general solution to the differential equation y" + 4y = cos 2x (where y' = ) dx

A: The general solution of a higher-order linear non-homogeneous differential equation is the sum of…

Q: 3 Find the particular solution of the differential equation dy (x+2)= y+2 dx y(0) = 1

A: To Determine :-  The particular solution of the differential equation x+2 dydx = y + 2            y0…

Q: Find the general solution of the given differential equation: dy = x²y %3D dx

A: Solving

Q: 4. In the differential equation (y -x -4x-1)dy + 2y(x+ y+2)dx = 0, MN

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Q: What is the particular solution of the differential equation (x+y) dx + (x - y) dy = 0 when x = 0…

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Q: 3. Find the general solution of the differential equation y" + 4y = 2 + e²" cos 2x

A: Given differential equation is 2nd order differential equation. General solution= Complementary…

Q: determine the general solution of the given differential equation.  y(6) + y‴ = t

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.