Find the general solutions x²y' + y² = xyy'

Q: Use the 2 solutions Bernoulli's equation y' + -√√y=0 y x

A: The given differential equation y'+yx-y=0. We have to find the solution of the differential…

Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: Determine all solutions. y'= (x-y + 3)²

A:

Q: d'y (3x-5)(2x + +9x=6) Determine the and of y = 7x Solution:

A:

Q: Solve xy"- y' - 4x³y = 8x³sin(x²).

A:

Q: Find the General Solution: y" - 3y' + 2y =4e ** -4x

A:

Q: Solve for y in two ways. y' - 5y = -3

A:

Q: x^2 - xy + y^2 = 3, find y'' Step by step solutions.

A: Given: x2-xy+y2=3 To find y''.

Q: x+1 If y 2х — уx then y' will be.

A:

Q: Solve for ‘x’ and ‘y’ where x + y = a – b, ax – by = a2 + b2

A: To solve the equation for x and y.

Q: Solve: x'y" - 2xy' + 2y =0 2_2)

A: Please refer to the image below

Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: Solve x'y-5xy+13y-0

A:

Q: x²dx 3 2 3 (5-x') 2.

A:

Q: Solve:  y’’’ – 4y’’ + y’ + 6y = 0

A:

Q: * Salne the equalion:- (2x-44 +5)y'=n -2y+3

A: This homogeneous differential equation is solve by substitution and then by separation of variables…

Q: Solve z" + 2z" – 4z' – 8z = 0 -

A: We solve this question by simple techniques used to solve homogeneous differntial equation

Q: Solve y" - 2y" +9y' - 18y = 0.

A: Given differential equation: We have to find the solution of the given differential equation.

Q: y= (2x)(3x+1), find y' none of these answers O 6x+2 O 12x+2 O 12x+3

A:

Q: Use the substitution z = y^2+ t −1 to solve 2yy′= y^2+ t −1

A:

Q: Solve for y' 4xy+ y² 2x2 –2y

A: The objective is to solve y'=4xy+y22x2-2y. The equation can be written as, -4x+yy+2x2-2yy2y'=0 The…

Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0