Solve dy (a) dx dy 1+y (b) dx 2x y+1 dy (c) (1+x 2+x dy (d) e*+y

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

A: Explained below

Q: Dy/dx=(3x-5)(x+1);y=1 when x=-1

A: Given equation is: dydx=3x-5x+1 And the condition is: y=1 when x=-1

Q: Solve y (e* + Inx) dx + (3 – y) dy = 0

A: The given ordinary differential equation can be written as:

Q: 17 i

A: Explanation of the answer is as follows

Q: (1+x*)dy + x(1+ 4y²)dx =0

A:

Q: d²y/dx²-12dy/dx+2y=0

A: Explanation of the solution is given below...

Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

A:

Q: (y-4x-1) dx= dy %3D

A: (6) Given differential equation is y−4x−12dx=dy....1 We have to find the solution of the given…

Q: (xy² + x)dx-(x²y-y)dy = 0, y(2) = 5.

A:

Q: d²y dx² 2 (2x-3)² Find y = O O d²y dx² d²y dx² d²y dx² O d'y dx² = = = = 12 (2x-3)¹ -12 (2x-3)4 48…

A: Given equation is y=22x-32. Find the value of d2ydx2. Here we use the differential formulae:…

Q: Solve by separating variables (x-4)y dx-x³ (y²-3) dy=0

A:

Q: 1 (е) -dx 2х — 3 а? — 4 |

A:

Q: xydæ – (x² + 3y²) dy + 3y?) dy = 0

A:

Q: d²y - x² = 0 with dx2 (x = -3) = 2, y(2)=4 dx

A:

Q: dy (B) Find -, if dx 3x2 + 2x 2 Y = (- when x = 1 5

A:

Q: dy '(x2 + 2x)을+(x-+2) y 3D xe

A:

Q: (2x² + 2xy + y²) dx + (x² + 2xy - y²) dy = 0

A:

Q: d²y + 4y = 8x² ,y(0) = -3,y'(0) = 0 dx2

A: We have to solve the differential equation using initial conditions.

Q: (2x²+5)dx + 3y dy =0

A: First we rewrite the given differential equation in separable form and then we find it's solution.

Q: ((x + 1)5 + 3y)dx − (x + 1)dy = 0

A:

Q: (3x + y5)dy – ydx = 0 %3D -

A:

Q: (2xcosy + 3x2)dx + (x3 − x2siny − y)dy = 0, if f(0) = 2.

A:

Q: •1 fl-x r4-x²-y 16. x dz dy dx 0 Jo 3

A: See the attachment

Q: (x² + y² + x) dx + xycy = ax 0

A: The Solution is given below

Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: Solve 2(ax+Y) dx + (3x +Y) dy =0 ,y) =2

A: SOLUTION-

Q: exey (2xe + )dx + ( ) dy - ex ر ول

A: Since you have asked multiple questions in a single request we would be answering only the first…

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

A: