dx x2-y2-xy 0 ху dy

Q: Solve the differential equation dy/dx = e2x-y/ex+y

A:

Q: Give the general solution of the differential equations.   y" - y' - 6y = sin 2t

A:

Q: The general solution of the differential equation x²y" - 2y = Inx is

A:

Q: .x = y + dy dr X2 - y²

A:

Q: 6. (y2 – 3y – x)dx + (2y - 3)dy = 0

A: The given differential equation is; (y2-3y-x)dx+(2y-3)dy=0.

Q: Find the general solution of the differential equation dx = xin (xy)

A:

Q: find solution of differential equation y'=(x^3+3y^2)/2xy

A:

Q: yey dx = (y² + 2x e¹) dy

A: The given differential equation,     yeydx=y3+2xeydy

Q: Solve the differential equation y (2.x³ – x²y+ y³) dx - x (2x³ + y³) dy = 0.

A:

Q: Determine the solution to the differential equation given by: (2xy-9x2)dx+(2y+x2+1)dy=0

A: Here,      2xy-9x2dx+2y+x2+1dy=0⇒2xy-9x2+2y+x2+1dydx=0⇒2xy-9x2+2y+x2+1y' =0Here, ∂Mx, y∂y=∂Nx, y∂x.…

Q: Find general solutions of the differential equation      x^2y'=xy+y^2

A:

Q: The equation x² + e¤y = c defines an implicit solution of the differential equation

A: We have to differentiate the given equation with respect to x first.

Q: Find the general solution to the differential equation. x²y' = (x + 5)y y =

A: Given:- x2y' = (x+5)y To find:- General solution of given differential equation

Q: (xy – 2y²)dx – (x² – 3xy)dy = 0 -

A:

Q: Determine the solution of the differential equation by separating the variable dy ,3x-2y + x²e-2y dx

A: given differential equation dydx=e3x-2y+x2e-2y claim- solve the differential equation by separating…

Q: Find the general solution of the differential equation xy + y′ = 100x

A: Given: y'+xy=100x

Q: find the solution of this differential equation: (x − 1)y′ = y + 2(x − 1)^3

A:

Q: Find the general solution of the differential equation y′ = 5x/y

A: Given the differential equation: y'=5xyRewrite asdydx=5xy

Q: a²y"- (x-2)y'=0

A:

Q: (x -y2) dx + 2x y dy ニ

A:

Q: Find the general solution of differential equation dy/dx = (y^2x + x^3)/(x^3-x^2y)

A: We need to solve dydx=y2x+x3x3-x2y. So,              dydx=y2x+x3x3-x2ySubstitute  dydx with y'.⇒y'…

Q: Find the general solution of the differential equation 2xyy' = 2y² – x²

A: given 2xy y' = 2y' -x'y' = 2y2-x22xy---(1)put y =vxy' = v + xv'---(2)so from (!) we have y' =…

Q: Find general solutions of the differential equation    2xy+x^2y'=y^2

A: Given

Q: Solve the differential equation 3y' = x + y by making the change of variable u = x + y.

A:

Q: e*+Y y =3x

A: The given differential equation is                                              ex+yy'=3x To solve…

Q: What is the general solution to the differential equation (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0…

A: 2xy-y2+ydx+3x2-4xy+3xdy=0

Q: Find general solutions of the differential equation          x^3+3y-xy'=0.

A:

Q: Find general solutions of the differential equation          xy+y^2-x^2y'=0

A:

Q: Find general solutions of the differential equation    (x+2y)y'=y

A: Given differential equation is Convert it in linear differential equation by simplifying. This is…

Q: This is a differential equations problem.

A:

Q: Find the general solution of the differential equation xy′ = y

A: Since, we have to find the general solution of the differential equation given below:-xy'=y-(i)

Q: Find the general solution of the differential equation…

A:

Q: Solve the first order linear differential equation:  xy'+2y=-x3+x         ,          y(1)=2

A:

Q: Find the solution of the differential equation. y`+3x=x+e-2x

A: Given query is to find the solution of the differential equation.

Q: dx x² + xy + y² – y²" dy

A:

Q: 2. (xy +x)dx = (x²y² + x² + y² + 1)dy

A:

Q: Solve the first order differential equation. (x3 + y4) dx + 8y3xdy = 0, when x = 4, y = 1/2

A: Explanation of the answer is as follows

Q: xdy – ydx = (x²+ xy – 2y²)dx - %3D

A: xdy-ydx=(x2+xy-2y2)dxxdy=(x2+xy-2y2+y)dxdydx=(x2+xy-2y2+y)xput y=vxdifferentiate…

Q: y = C1e2" sen(x)+ C2e²" cos(x) +x² + C3x + C4.

A:

Q: The general solution of the differential equation xy'dx + exp(x:) dy is:

A:

Q: Find the general solution of the differential equation. 11x y' = y

A: We have to find the general solution of the given differential equation.  For this we will…

Q: Find the general solution of the differential equation . (2 + x)y′ = 3y

A: Consider the differential equation: 2+xy'=3y

Q: Use appropriate substitution to solve the differential equation dy 2x + y - 2+ dx 1 4x + 2y > y =…

A:

Q: Solve the differential equation: y(2x3-x2y+y3)dx - x(2x3+y3)dy = 0

A:

Q: Find the general solution of the differential equation (1 + x)y = 3x.

A:

Q: Evaluate the solution of the differential equation y' + xy = 6x/y .

A:

Q: Solve the differential equation dy/dx = 6e^(2x- y) when x O when y = 0.

A:

Q: Solve the differential equation (xy – 6x²)dy – (2y² – 9xy)dx when x = 1, y = 1

A:

Q: 2xdy + y(2 + y²x) dx = 0.

A:

Q: Solve the linear differential equation dy y 2x2 - dx

A: Given differential equation is dydx - yx = 2x2

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.