Differential Equations Answers

Solve the initial value problem: d^2x/dt^2 - 6 dx/dt +9x =0, x(0) =6, X^. (0) =-1

Solve the following ordinary differential equations: i) dy/dx + 4xy = x, (2) d^2y/dx^2 + 4 dy/dx - 12 y =cos 2x

Use the power series method to obtain one solution of the following ODE:x^2y"+3y'-xy=0

The orthogonal trajectories of all the parabolas with vertices at the origin and foci on the x-axis is x^2+2y^2=c^2 true false.

i) The initial value problem dy/dx = x^2+y^2, y(0)= has a unique solution in some interval of the form - h<x<h.

Find the value of m so that the functiony=emx is a solution of the differential equation y′+2y=0

Which of the differential equation represent the time rate of change a population P(t) with constant birth and death rate is proportional to the size of the population

The order of differential equation d2y/dx2+2dy/dxd3y/dx3+x=0 is __________

One hundred grams of cane sugar in water are being converted into dextrose at a rate which is proportional to the amount unconverted. Find the differential equation expressing the rate of conversion after t minutes.

Sove the initial value problem dy/dx=12x3−2sinx,y(0)=3