B. Solve the following equation using the determination of integrating factors. 2. y(4x + y)dx – 2(x² – y) dy = 0

Q: (x+y)dx - Cy=x Jdy untino socrect ?

A:

Q: Differentiate the function. 7x - 1 y = 3 5x° + 7 y' = D %3D

A:

Q: dz. 2ª + 9 tegrate

A: The integration of the integral x/√(x4+9).

Q: 1. and t= 1-X %3D 7. find at X= 2 10

A: Please refer the attached image for complete solution.

Q: 2. Solve the ff. equation using integrating factor. dy 2y – e3r dx

A: Given: dydx=2y-e3x

Q: solve D.E. by using Linear (y? + 1)dx + (2xy+ 1)dy= 0

A: See the attachment

Q: Solve y (1 + 2 x y) dx + x (1 – 2 x y)dy = 0 using the substitution Z = 2 x y

A: Given that y (1 + 2 x y) dx + x (1 – 2 x y)dy = 0  Therefore, we have  y (1 + 2 x y) dx + x (1 – 2 x…

Q: x dx 1o. 8 x-X

A:

Q: 1. Separating the variables dy 1 x(y- 3) =D4y dx %3D

A: In the separation of variables method of solving the differential equation, the different variables…

Q: Solve (3x²y³+4xy)dx+(3x³y²+2x²)dy=0

A: Let us considre the differential equation Mdx+Ndy=0 The equation is exact ∂M∂y=∂N∂x The solution of…

Q: y³ + x = x³ + xy. What are the values of dy/dx where y = 0.

A:

Q: Solve the following D.Es: 1. (x+ 1) = x(y² + 1). dr

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Solve D.E using bernouliis equation dy – 2x · = x(x+1)y' dx

A:

Q: Find all values of the constant c so that (2x + y) dx dy = 3.

A: Given: ∫01∫0c2x+ydxdy=3 To find value of c. Solving the given integral, we get…

Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: 2. Solve x dx – y² dy = 0. Answer:

A:

Q: Determine dy/dx for the equation 5x3+7xy- 3y5 = 9 .

A: To find the derivative (d y / d x).

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.