dy + 4 y = x³ - dx

Q: dy 3. + + 2y + y² = 0,yı = -2 dx

A:

Q: d*y dx + 2- dx d'y d²y dx 0.

A:

Q: dy/dx - y = xy5 = 0 Ans. 1/y* = -x++ ce 4*

A:

Q: dx + (x- y + 2)°dy = 0 4.

A:

Q: Find dx y = 9x -2 dy dx II

A: Given:    y = 9x-2

Q: d'y dy -4- 4- dx? dx -3y=0. y(0)=1, y(0)=5

A: According to the given information, it is required to solve the given differential equation.

Q: dy 글-(1 + x)y = xy2 dx

A: We have to solve given problem:

Q: dy_ y² + xy² 8- dx x'y-x

A:

Q: dy Cscx 1. x +4y - dx %3D x3

A: We have to solve the differential equation.

Q: = y - dy 3. 25 @ y (0)=1, y (0) =2 dx2 dx

A:

Q: dy 3. = (x + y)². dx

A: # we are entitled to solve one question at a time, please resubmit the other questions if you wish…

Q: dy y = (3x2 + x-2)-1; dx

A:

Q: dy - 2rV1 – y³, -1 < y< 1 dx

A: Given dydx=2x1-y2

Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

A:

Q: y(3x-2)dx +x (1-2 y)dy=D

A: We will solve the problem

Q: y-dx + (x2 + 3xy+ 4y²) dy = 0, when x = 2, y=1

A: Explanation of the answer is as follows

Q: dy ху + 2у - х-2 ху — 3у+x-3 dx

A: We will solve the problem

Q: dy - (1+ x)y = xy² dx %3D

A:

Q: d²y - x² = 0 with dx2 (x = -3) = 2, y(2)=4 dx

A:

Q: x² - 3 y : х +2 dy dx

A: Given: The function is  y=x2-3x+2   To determine: dydx of the function y=x2-3x+2

Q: dy/dx=(x+2y-3)/(2x+y-3)

A:

Q: dy Зx+2у dx 2х+y

A: Ans:

Q: d'y 2x(2x – 1)- – (x + 1)+ y = 0 dx2 dx

A: Given The given differential equation is 2x2x-1d2ydx2-x+1dydx+y=0.

Q: 9 dx dy y² 0. 2

A:

Q: dy y2 – 1 y(2) = 2 dx

A:

Q: Find dy/dx.  Y3 + (y+2)2 - 1 - x2 = x

A: Expand the left hand side expression and isolate the variables x and y.…

Q: dy Calculate dx y = - dy dx2

A: Given,

Q: y(4x+y)dx-2(x2-y)dy = 0  when x = 1 , y= 1

A:

Q: 3. (y -2 ) dx – ( x - y – 1 ) dy = 0

A: Given (y-2)dx-(x-y-1)dy=0

Q: dy – y (xy' -1) .3 2.) dx

A:

Q: dy -xy y(0) = 2. dx 1+ x² '

A:

Q: dy 2x – y 21 dx x - 2y

A: The given differential equation isdydx=2x-yx-2y

Q: X- dx dy + (x – 7)y = 8x'

A:

Q: d²y, 1 dy + dx² + y = 0 2 dx

A: Given a differential equation, xy"+12y'+y=0 Re-writing the given equation, y"+12xy'+1xy=0 Here,…

Q: B dy x/1-y2 dx 1+x2 II

A:

Q: dy 6-x.-3y= x' dx

A: we are given an ode -x*dy/dx -3y=x2 we have to solve this ode as we can see, this is a linear first…

Q: dy 1+y2 x2 3. dx +y²

A: Given: dydx=x21+y2 For finding solution of given differential equation, we use variable separable…

Q: dy dx x3 2+y²

A:

Q: dy Solve = y(xy' -1). dx

A: Given dydx = y(xy3-1)dydx = xy4-ydydx+y = xy41y4dydx + 1y3 = x…

Q: y(4x+y)dx-2(x^2-y)dy=0

A:

Q: dx +(1-2x ]& =0 +y-(x+y)*

A:

Q: dy 3) (x+ 1)(y- 1) dx

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: (y - 2x - 9) dy = (x + 2y + 7) dx

A:

Q: dx (1) dy (2x+y-1)

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: (dy)/(dx)= (3x^2+4x+2)/(2(y-1)), y(0)=1

A:

Q: dy_ y+x+4 dx у-х+8

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.