Direction: Solve the following equations using separation of variables. 3. 2xy + 6x(x² – 4)y' = 0 %3D

Q: Solve (2x – –10y°) +y=0

A: Given the differential equation          2x-10y3dydx+y=0

Q: Calculus Question

A:

Q: 2x-1 dx

A: Given,

Q: e equation y-x+6x=18 fill in the steps to write the equation in standard form. %3D PENCIL THIN BLACK…

A: Here we have to write the given in the standard form.

Q: |a?V- 2 dx.

A:

Q: ydx + (y-x)dy = 0 solve this diff. Equation

A: This is first order ordinary differential equation.

Q: f(z) = a log,(Vdecz

A: Given, z = 8 + 9i  when  a=50 , b = 7, c = 10,  d = 12 and n = 6 .

Q: Find dy for y = (8x + 1)2. dy = (Simplify your answer.) %3D

A:

Q: Find dy : Note: subscripts indicate a different variable. a. y = 4x +7x} +2x,x, +4x² +5

A:

Q: x°+3x Find y". y 3= %3D

A: Given function: Simplifying:

Q: B) Solve (3x? + 3x y²)dx + (3x²y – 3y² + 2y)dy = 0 %3D

A: First test for exactness:  ∂∂y3x2+3xy2=6xy ∂∂x3x2y-3y2+2y=6xy Since, ∂∂x3x2y-3y2+2y=∂∂y3x2+3xy2 so…

Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: -10x Given an equation x3 – y3 = 5, show that y" %3D y5

A: We will show the given statement.

Q: Solve for y: x=2y+1/3y-3 y=

A: Given equation is

Q: Find dy. y = 33 + 10x4 – 5x5 dy = (Simplify your answer.)

A:

Q: find y' for Zy%3D2X-2y

A:

Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: 4. (x? — у?)dx — 2хydy %3D 0

A:

Q: 7²y+3y1 = -8 dy/dx %3D

A:

Q: ³+1 2x²5x 3 S dz.

A:

Q: 12x e³x dx

A:

Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

A:

Q: Solve (mz-ny)p+(nx-lz)q=ly-mx

A:

Q: 1. Solve for 'x': vx + v2x +7 = 8

A: