Find the general solution: k^2 dx+(x-y+k)^2 dy3D0

Q: Find dy/dx. 3x2 - y = 8x dy dx

A:

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

A: Explained below

Q: (x- 3y+ 2)dx + (3x+9y –- 12)dy = 0 |

A:

Q: Determine whether (6x+y^2)dx + y(2xy-3y^2)dy = 0 is exact or not.

A:

Q: Evaluate the integral.

A: Integration is a process of finding the anti derivative of a function. There are basically two types…

Q: Find integrating factor of the equation (x4+y4)dx-xy3dy=0

A: The given equation can be rewritten as   xy3dydx=x4+y4    ∴y3dydx-y4x=x3     Let y4=t…

Q: 2 1. Evaluate 8x" dx by the Gaussian quadrature method. 7

A:

Q: 3dy dx3 +5ª²y _ 2 dy = 0 dx2 dx

A: Follow next step

Q: solve using non-exact (x+4y3)dy - ydx = 0

A: Solving the non exact differential equation

Q: 1+x dx V1-x

A:

Q: /2x- xy dydx = 0,

A:

Q: 15. In (x² + y² + 1) dx dy

A:

Q: Find the solution. 2y dx = (x2-1)(dx - dy) %3D

A:

Q: dy Find- , if y = 2x+9 dx x2- 5x+1

A:

Q: What is the I.F of (2y^2+3x)dx+xydy=0?

A:

Q: 3. Sxe**(4** – e)dx

A:

Q: x'dx √√x(1-x)

A:

Q: Y = 4x²-5 Vsx dy=?

A: We want to find derivative of y, The given expression for y is,               y=4x5-55x

Q: Find the particular Salisiles dy -2 = 5x dx + 6x1-1; y(1)= 3

A: Given : dydx = 5x-2 + 6x-1-1

Q: lax +3y-5) dx + (3x-y -

A:

Q: Differentiate the function. (2x + 3)5 y = (4x + 1) dy dx

A:

Q: 10. x = Vt-2, d²y y =t2-3' dx2

A: The given question is taken from the derivative and we have to find the derivative of the parametric…

Q: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

A:

Q: Find the particular solution from y(9x-2y)dx-x(6x-y)dy=0  when x=1/3 and y=5/2.

A:

Q: dy/dx=4x^6sqrty,y>0

A:

Q: ху+3x- у -3 dy %3D dx xy-2x + 4y- 8

A:

Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: Paragraph 12) S, dx Sx+7

A:

Q: 8. dy V1+ /1+x -1

A: We need to evaluate the following integral ∫-18dy1+1+x

Q: Differentiate. dy dx y = 2x³ - 5x² + 7x +4 ||

A:

Q: Find an implicit general solution of ( x² + dx + 1+ 4x²y², - y*) dy = 0 %3D 1+4x²y?

A:

Q: 1 1+9g2 dæ| dxl

A:

Q: Solve the D.EXY+Y=1/1/2

A:

Q: y (2xy + y²) dx + x (y² − x) dy = 0

A: According to question given:y(2xy+y2)dx+xy2-xdy=0y(2xy+y2)dx=-xy2-xdydydx=-y(2xy+y2)xy2-x

Q: Differentiate the function. y = (2x-5)³ (5-x4) 4 dy dx

A:

Q: Evaluate В: А: 3e-422 dz Jye-y dy 0, 0,

A: In the question it is asked to calculate the integral of two functions given below: ∫0∞ye-y3dy…

Q: dy 1- S V9+y2

A:

Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

A:

Q: Solve the LDE of dy/dx = [1/(1+x3)] – [3x2/(1 + x^3)]y

A:

Q: Solve for dy when y = + 3x, x=2 and dx =0.5

A: The given problem is related to total differentiation.

Q: (2x+ 3y) dx + (3x-y+5) dy

A:

Q: (х — у)(4х + у)dx + x(5х — у)dy %3D0

A:

Q: Solve xdy + (3x - 2y)dx =0 in two ways. Write your solution on the space provided

A:

Q: Find dy/dx of  1. y=x3 (2x2 -1)

A: Given, y = x3(2x2 -1) Multiplying the x3  with (2x2 - 1)  So, y = 2x5 - x3

Q: What is the I.F of (x^2y^3+2y)dx+(2x-2x^3y^2)dy=0?

A: Find the integrating factor

Q: ~2 (c) V2x + 3 dx 0,

A:

Q: (6x²-y+3) dx +(3y²-x-2) dy

A:

Q: Solve using variaiton of parameter (D³ – 3D +2)y = (1+e2x)-1/2

A:

Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

A:

Q: 4y2 dx = 9x2 dy when x = 4, y = -3

A: