Find the general solution of the second order differential equation dy dy dx? - 6y = 0 d.x .A y = Ae-3x + Be-2x .B -2.x y = Ae3x + Be .C Y = Ae-3x + Be2" %3D .D = Ae³* + Be²" y = 3x 2x

Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

A:

Q: When the constant "c" is eliminated in the relation 2y² + xy = ex², which of the following is the…

A:

Q: y' – (cotx)y = -(2cosx)y-2

A: Handwriting solution

Q: dx dy dz y +z X + y X +2

A:

Q: dy/dp= − (4/5) (y/p+9) Solve this differential equation if y = 8  when p = $23.

A:

Q: 2 2 2 2 x²dy =l-x+y -xy 1-xナy -XY dx

A:

Q: A 60-L tank contains 40L of alcohol mixture at 60% concentration. An additional alcohol mixture of…

A: Here first we form a differential equation for the amount of alcohol A(t) in the tank at time t. The…

Q: The differential equation 3x?yy' – 3x5 = y?can be changed to linear by the substitution (a) v = y?…

A: Put y=vx So, none of these is correct option.

Q: Solve the differential equation by using variation of parameters: d'y dy 3 dx 3x + 2y = e dx .A 3x y…

A:

Q: From the differential equation by eliminationg the arbitary constant A,B from y=Ae/x+Be¬-7x +Be-7x

A: To form the differential equation by eliminating the arbitrary constant

Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

Q: Which of the following is the general solution to the differential equation 4xy -x2-y" dx for x 0?

A:

Q: d²y dx² 3 7 + 3y (dy) 2 + y ² (dy) ² 3 0 = 5x

A:

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.