Solve using DEPlz answer the question in 20 minutes it's very urgent plz and just question 3 1.(2xy + x²) dy + (2xy + y²) dx = 00000A*A*3. (3x²y³ +3 sin x + 4y) dx + (3x³y² + 4x) dy = 0x dy + y dx = 05. (3x²y² + 2y³ – 4y) dx + (2x³y + 6xy² − 4x) dy = 02. (3x² + 2xy) dx + (x²) dy = 0

Answered: 1. (2xy + x²)dy + (2xy + y²) dx = 0…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve using DE Plz answer the question in 20 minutes it's very urgent plz and just question 3

1.
(2xy + x²) dy + (2xy + y²) dx = 0
0000
A
*A*3. (3x²y³ +3 sin x + 4y) dx + (3x³y² + 4x) dy = 0
x dy + y dx = 0
5. (3x²y² + 2y³ – 4y) dx + (2x³y + 6xy² − 4x) dy = 0
2. (3x² + 2xy) dx + (x²) dy = 0

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What is Exact Differential Equation:

Any equation with one or more terms is a differential equation. It involves the dependent variable's derivative in relation to the independent variable. If a function f of the two variables x and y has continuous partial derivatives, then the definition of an exact differential equation can be separated from the differential equation.

Given:

Given differential equation is

$(2 x y + x^{2}) d y + (2 x y + y^{2}) d x = 0$