Find the solution of (2*y² – y) dx + (x²y* – x) dy = 0 o를 +를 - C O 3r°y + 2ry* – Czy = 6 %3D o +를 +금 = C O 3z°y + 2xy³ – Cxy = 6

Q: Inx+ 1 dy If y = then %3D 2x3 - 3x' will be dx (2x – 3x) + 1) – (In x + 1)(6x² – 3) А. (2x³ – 3x)² -…

A: Use the formula of differentiation of fraction of Two functions in same variable.

Q: The solution of (e +2ay) daæ + (2 cos 2y+ 2x?y) dy is given by (A) e" + a?y² + cos 2y = c (B) e +…

A: The given equation is; (ex + 2xy2) dx + (2cos2y + 2x2y)

Q: Obtain the general solution of y√(1+x^2)dx+ x√(1+ y²)dy = 0 using variable separable method.

A: solution is given below..

Q: Solve the DE (6x + y2) dx + y (2x - 3y) dy = 0. Hint: Exact O 3x^3 + xy^2 - y^3 = c O 3x^2 - xy^2 -…

A: Given differential equation:- 6x+y2dx+y2x-3ydy=0

Q: (D 3)²y = e*.. %3D

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 2 (x² + 2xy - 4y²) dx 2 X - 8xy - 4y²)dy = 0

A:

Q: 3x²=ay² + (1-4x4) dy = 0 (₁ 2. 1 + x³y² +y + xy = 0

A:

Q: find general solution (x − 3y + 5)dx + (3x − 9y − 6)dy = 0

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Q: y' =xy

A:

Q: (6xy + y² − ysin(xy))+(3x² + 2xy-xsin(xy))dy = 0

A:

Q: d²y 2) Obtain a particular solution for d*y dx+ + + y = x³ + 2x +1 dx2

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Q: -2dх 38. y-2dx dy er e2x + 1' УО) %3D 1

A:

Q: 2x-1 3 + If y = Vx2 - x then y' = 3 3 x2-x FO

A: We have given y. We have to identify y' is true or not.

Q: Solve the DE xy(y² + 1)dx + (x²y² - 2) dy; y(1). = 1 O x^2 (y^2 - 1) = 2 - 4ln(y) O x^2 (y^2 + 1) =…

A: Here we have to solve the differential equation.

Q: – 5x*) dx

A:

Q: 3. 2хydx - (3xу + 2y?)dy %3D0 o (x - 2y)*(2x +y) = c O (x - y)*(x + y) = c (х + 2y)(2x - у)*- с о…

A:

Q: 5. Find the general solution of (D³-D)y=4e*+3ex. Ans. y=2xe*+(1/2)e2+c1+c2e*+c3e*

A:

Q: az Calcula y z = x4 – 2y3 O 8z 4x3 az -6y? O az 4x – 2y dz = 1* – 6y O dz = 4x3 az = 6y? O 8z 4x –…

A:

Q: What is the general solution of 3 (3x² + y°) dx - 2rydy = 0 ? O== c (9z2 + y?) = c (9z? - y°) = c…

A: Topic = Differential equation

Q: Find the general solution of d³y d²y dy + 4 + 10y = –24e* dx +9- dx3 dx²

A:

Q: Find the complete solution of d2y/dx2 +2dy/dx+y =sinxcos2x.

A: