Differential Equations Answers

Find the charge on the capacitor in an RLC circuit at the =0.01sec. when L=0.05 Henry, R= 2 ohms, C=0.01 Farad.E(t)=0,q(0)=5 Columbus and i(0)=0.

Solve d^2y/dx^2-2tanx dy/dx +5y =e^x second.

Solve dy/dx +xy=(y^2)(e^(x^2/2))(sinx).

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.

Obtain the integrating factor of each Differential Equations:
y(2xy+1)dx - xdy = 0
y(y^3-x)dx + x(y^3+x)dy = 0
(x^3+y^3+1)dx + x^4y^2dy = 0
2tds +s(2+s^2t)dt = 0
y(x^4-y^2)dx + x(x^4+y^2)dy = 0

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.