xy (prime) – 2y = 8x² ln x

Q: a) Solve differential equation dx (y² – 4)(x – 1) = (x + 1): dy

A: Solution of the problem is given in the next step.

Q: 8. Solve the differential equation: y' √x 7y

A:

Q: Solve the differential equation 2xy + y²) dx + (x² + 2xy-y²) dy = 0

A: A homogeneous differential equation is one in which the degree of the function f(x,y) is the same as…

Q: Solve the differential equation f -e = 2ey by separation of variables.

A: In this question, concept of separation of variables is used. Seperation of Variables The approach…

Q: Solve the differential equation (x²+1)y' + 3x(y-1)=0 and y(0)=2

A: Topic: Differential equation

Q: Solve the differential equation y'-(1+ x)(1+ y²) = 0

A:

Q: 1. Solve the differential equation (3xy- 2y)dx + (x²- 2xy)dy = 0

A: Solve the above integration

Q: (x+2)? dy 2y dx x -4 x² -4

A: dydx+2yx2-4=x+22x2-4⇒dydx+2yx2-4=x+2x-2⇒y=∫x+2x-2dxx+2x-2x-2

Q: Solve the differential equation xy = x2 + y2 dx

A:

Q: 3. Solve the differential equation for x > 0 2 y' + -y = x.

A:

Q: Solve the differential equation. y' = 3x - y 3x – 3 + Cex

A:

Q: Solve the differential equation y'-(1+ x)(1+ y²)= 0

A: To solve given differential equation first we solve for separating the variables then taking…

Q: Solve the differential equation (x2y-2xy2)dx=(x3-3x2y)dy

A:

Q: x*y' = -x³y – csc (xy).

A: To solve the below differential equation. x4y'=−x3y−cscxy

Q: Solve the differential equation  2x+y2+2xyy′=0.     (1)

A: Exact differential equation:  Mdx + Ndy = 0 is called exact differential equation if ∂M∂y=∂N∂x And…

Q: y' = 2x – 3xy

A:

Q: Solve the differential equation xy'+y=25square root of x

A: Solution is given below..

Q: 2. Solve the differential equation dy -e2y-cotx tan x dx

A: On differentiating the given equation, tan2 x.dydx=e2y.e-cotxe-2ydy=e-cotxtan2x.dxLet, cotx=t…

Q: solve the differential equation y'ln[y]+x2y=0

A:

Q: solve the differential equation 2) 2x² dy dx csc (X)

A:

Q: Solve the differential equation. (x² + 15)y' = xy

A:

Q: (5) Solve the differential equation by variable separable x² tan ydy = (²e* ln x + xe")dx

A:

Q: (x -y2) dx + 2x y dy ニ

A:

Q: Solve the differential equation  xdy-{y+xy3(1+logx)}dx=0

A: Given differential equation is : xdy-y+xy31+logxdx=0 To solve the given differential equation .

Q: Solve the differential equation xy' = x² + 3y, for x.

A:

Q: Solve the differential equation. y' = 4x – y %3D

A: Let v=4x-y Differentiating both sides we get: ddx(v)=ddx(4x-y)v'=4-y'y'=4-v'

Q: (1+ x²)y' = x*y4

A: The given differential equation,(1+x2)y'=x4y4

Q: Solve the differential equation: (2xy-sinx)dx+(x² - cosy)dy=0.

A: The given differential equation is  (2xy-sinx)dx+(x2-cosy)dy=0 It is of the form , Mdx+Ndy=0 . This…

Q: Solve the differential equation y"-9 y+20 y= sin(x)--'cos(x)¶

A:

Q: Solve the differential equation: (1+ x²)dy + ydx = tan-1x dx %3D

A: Simplify  in Linear form than solve DE using Integrating Factor (I.F.).

Q: 1. Solve the differential equation: xy' – y = 2x ln x

A:

Q: y"-7y'= (2x –1)sin 2x

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: Solve the differential equation y""+y" = 3x² + sin x - 2 cos x What is the particular solution?

A: We have to find the particular solution.

Q: 7. Solve the differential equation dy dx Va - y

A:

Q: (x + 4y³)dy – ydx = 0

A:

Q: solve the differential equation. (1 + ln x) dx + (1 + ln y) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟(Take y…

Q: Solve the differential equation by variation of parameters. 16х у" - 16у %3D 4x e У(x) %3

A:

Q: Solve the differential equation. xy' + y = 7Vx

A:

Q: 7) Solve the differential equation. (ev – 1)y = 2 + cos x -

A: Given: ey−1y'=2+cos⁡x ⇒ey−1dydx=2+cos⁡x ⇒ey−1dy=2+cos⁡xdx Now to solve the given differential…

Q: Solve the differential equation: xy =yln

A:

Q: Solve the differential equation  xy^2y' =x+1

A: Given differential equation

Q: Solve the differential equation. xy' + y = 19Vx %3D

A: Given differential equation is xy' + y = 19x

Q: Solve the differential equation x²y"-y e 2*

A: The general solution of the second order, linear, non homogeneous ordinary differential equation…

Q: Solve the differential equation 2xy -(y+x)(y-x)%3D0 dx

A: The differential equation is given as 2xydydx-(y+x)(y-x)=0 It can be rewritten as…

Q: solve the differential equation. 3)yーッー メ+1

A:

Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: (5) Solve the differential equation by variable dy separable x°y- csc y dx

A: A separable differential equation is any equation that can be written in the form y′=f(x)g(y). The…

Q: Solve the differential equation (1 + x3)dx - x2ydy = 0

A:

Q: 1. Solve the differential equation (3xy – 4y2)dx + (x2 – 4xy)dy = 0 -

A: Given differential equation is  (3xy-4y2)dx+(x2-4xy)dy=0 This is of the form  M(x,y)dx+N(x,y)dy=0…

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.