. Solve the equation xy' + y = x*y³.

Q: Q.3 Solve v = e»+vã dx

A: Use the variable separable method and Integrate to get the solution of given differential equation.

Q: Solve (2x – –10y°) +y=0

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

Q: ∫0.5. (e2jx- e2-2jx) dx

A:

Q: 6 dx. 1+ 9x2 Calculate

A:

Q: * - 1 2. Solve dx y +1

A: Given: dydx=ex-1y+1.

Q: So 0 xe- dư x²

A:

Q: Find a real root of the equationx' +x - 1 =0 by iteration method.

A:

Q: 1.- Solve S² (4-x-y) dxdy

A: ∫02​∫01​(4−x−y)dxdy Integrate with respect to x treating y as constant and then with respect to…

Q: (xsinx+2y)dx+xdy= 0

A: The given differential equation is

Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

A:

Q: calculate y" and y"'. y = x−9/5

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: dx 2. S sec4xcot4х

A:

Q: Find if y=e²x + 2ex+x²e + e² dx

A: y=e2x +2ex+x2e+e2

Q: colve dx+. y 2х y²-3x² -dy=0 y?

A: Given 2xy3dx+y2-3x2y2dy=0Need to solve

Q: Solve dy = (1+ 3ytan a) da

A:

Q: y ≥ 4/3x − 4

A: We first make a table for y =4/3x − 4 and draw the line using it. Picked few values for x, for those…

Q: Determine-for the implicit equation x2-10 y = 3x dy

A: We, differentiate both sides with respect to y. We use the product rule of differentiation which…

Q: x3 2. J Sadx 2. 3.

A:

Q: 5. (x2 - y?)dx – 2xydy = 0 %3D

A:

Q: Solve for x.

A:

Q: ydx - xdy + 3x²y²e*' dx = 0

A:

Q: 2. Solve x? – 6ax+ 2 = 0, where a>1 is a constant. -

A:

Q: 9x + 24xy + 16y2 + 80x – 60y = 0

A: answer is in next step

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

A:

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.