Plz answer question 3 only I am posting 3rd time plz 1.(2xy + x²) dy + (2xy + y²) dx = 0ooooA 2.*A*3. (3x²y³ +3 sin x + 4y) dx + (3x³y² + 4x) dy = 0x dy + y dx = 05. (3x²y² + 2y³ – 4y) dx + (2x³y + 6xy² − 4x) dy = 0(3x² + 2xy) dx + (x²) dy = 0

Answered: (2xy + x²)dy + (2xy + y²) dx = 0 A2…

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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Question

Plz answer question 3 only I am posting 3rd time plz

1.
(2xy + x²) dy + (2xy + y²) dx = 0
oooo
A 2.
*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
(3x² + 2xy) dx + (x²) dy = 0

Expert Solution

Step 1

Disclaimer: SInce you have asked to solve only question 3, this question has been solved only. Please find the answer below.

What is Exact Differential Equation:

Any equation with one or more terms is a differential equation. The dependent variable's derivative with respect to the independent variable is involved. If a function f of the two variables x and y has continuous partial derivatives, the definition of an exact differential equation can be distinguished from the differential equation.

Given:

Given differential equation is

$(3 x^{2} y^{3} + 3 \sin x + 4 y) d x + (3 x^{3} y^{2} + 4 x) d y = 0$