Using separation of variables, solve the initial value problem, dy dx - x¹e² = 8e", y(0) = 5

Q: Solve DE (x2-2xy)dy=(y2-2xy)dx

A:

Q: Solve x2y dx=(x3+y3) dy

A:

Q: Example // Solve (xeš + y) dx – x dy = 0 |

A: The given expression is the differential equation, hence methods for the solution helps to solve the…

Q: Solve the equation xy"+y'-5x³y=D0.

A:

Q: solve using non-exact (x+4y3)dy - ydx = 0

A: Solving the non exact differential equation

Q: x3y dx= (x3+y3)dy

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: Solve xy"- y' - 4x³y = 8x³sin(x²).

A:

Q: y + y = T+?" 1+ 12°

A: In this solution i got a critical integration which term i have conclude with a integral sign

Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

Q: Solve this equation dy_3-x-y dx x+y-l by using an appropriate substitution

A: The given differential equation is; dy/dx = (3-x-y) /(x+y-1)

Q: Solve for d2y/dx2 for x = u2 - 3 and y = 4u3 - 2u

A: Given x=u2-3 and y=4u3-2u. To find d2ydx2. Solution: We have, x=u2-3 Differentiating the given…

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 Solution (6x+y^2)dx+y(2x-3y)dy=0.

A: Given differential equation is in the form Mdx+Ndy=0 Where, M=6x+y2 and N=2xy-3y2 If ∂M∂y=∂N∂x then…

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

A:

Q: (1+e' )dx +e" (1-)dy = 0 y

A: To find the solution of the below differential equation.

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

A: Let's find.

Q: 3. 2X dy 2. %3D

A: