Solve (2x + y)dx – xdy = 0

Q: 1 -dx 3-4х

A:

Q: Solve (2x – –10y°) +y=0

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

Q: Solvey- dx OA7

A: We have to solve the differential equation…

Q: ア- 3 2x dx -dy = 0 Solve dk +

A: Solve the first order differential equation, using exact differential equation method.

Q: 2x2 2-3 dx =? V4x+5 %3D

A: ∫2x2-34x+5dx

Q: Solve the equation (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0

A:

Q: dx Find xVx+x+2

A:

Q: 5-solve = dx 2y + x and plot the solution.

A:

Q: dy dx 2 x +34-4 4メ+y -3

A:

Q: Solvedy =dy +4y=2= dx

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Q: Solve +4 + 3y = e* 2x dx dx

A: See attached file for a step by step explanation to find the required general solution.

Q: ,3 dx 3 Vx²-16

A: Given integral I=∫x3x2-163 dx

Q: Solvex =x-Y dy dx Write the solution explicitly if possible.

A:

Q: Find if y=e²x + 2ex+x²e + e² dx

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

Q: dx 2+

A:

Q: Find the integral. (3x+2)²dx (3x + 2)dx (Hint: Expand first.)

A: Given data

Q: Solve yuyx - Ux=4/x

A:

Q: In x -2 x dx

A: Given: I=∫12lnxx2dx   Apply the integration by parts to solve the given integral. ∫udv=u·v-∫vdu

Q: x? + 2x dx Vx³ + 3x² + 1

A:

Q: Vx +4 dx х Vx-4

A: Consider the integral ∫x+4x−4dx Therefore, ∫x+4x−4dx=∫xx−4dx+∫4x−4dx...…..(1) Let I1=∫xx−4dx and…

Q: dx 4-x とt

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Q: xペ-SX dx x2

A:

Q: Solve for x.

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.