Solve = (x²+6)(y-7), y(0) = 2. dy dx

Q: Differentiate d dx y = 11x4 + 3 - (1₁x² + 3) =

A: As we know that

Q: solve  (y2+2x2y)dx+(2x3-xy)dy=0

A: Consider the given differential equation:

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: Solve: xy dx + (2x² + 3y2 - 20) dy = 0. %3D

A:

Q: Find - 6x+1 x² +1 -dx.

A:

Q: (4cscxcotx + 2 sec² x)dx

A:

Q: Solve (5x + 9y) dx + (9x+ 5y) dy

A:

Q: Solve 2- (2xy - 2y)dx + (3x'y-4x)dy 0

A: We have to solve given problem:

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

A:

Q: dy Solve: (1 – x²) - x+ 4y = 0. dx2

A: The differential equation can be solved using the power series method. For that consider the series…

Q: (2x-2y-1)dx-(x-y+1)dy=0

A:

Q: (xsinx+2y)dx+xdy= 0

A: The given differential equation is

Q: solve (D2+1)y=sinxsin2x

A:

Q: Solve yuyx - Ux=4/x

A:

Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: Solve the equation (x^4 + 2y)dx - xdy = 0

A: I am attaching image so that you understand each and every step.

Q: Solve =y(2+xy') . =Dy(2+xy") dx

A:

Q: solve 2 x d zy dx=

A: Given: The second order differential equation is x2d2ydx2+4xdydx+2+xy=0

Q: 1 = f(y-x(2-x))dx 21

A: Given: I=∫02δy-x2-x dxTo find: The value of the given integral.

Q: Solve (2x^2y +y)dx+xdy =0

A:

Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

A:

Q: Solve (xy+x)dx - (x2y2+x2+y2+1)dy=0 using separation of variable

A: Let's find.

Q: y(6y^2-x-1)dx + 2xdy =0

A: