Differential Equations Answers

using the method of undetermined coefficient find the general solution of the differential equation dy^4/dx^4-2dy^3/dx^3+2dy^2/dx^2=3/e^x+2x/e^x +sinx /e^x

identify the type of the differential equation y =xdy/dx+1-logdy/dx and hance solve it

solve the differential equation dy/dx + (x/1-x^2)y=xy^1/2 , y(0)=1

correct question

a heavy bead slide down a smooth wire in the form of cycloid whose axis is vertical and vertex downwards from the rest at a cusp and is acted on besides its weight by a tangential resistance proportional to the square of its velocity.determine the velocity after a fall through the height x.

Solve the differential equation:
dy/dx+(x÷1-x²)y=x√y,y(0)=1

find the general integral of the equation (x-y)p+(y-x-z)q=z and a particular solution through the circle z=1,x^2+y^2=1

find the general integral of the equation (x-y)p+(y-x-z)q=z and a particular solution through the circle z=1,x^2+y^2=1

a simple series circuit has an inductor of 1 henry a capacitor of 10^-6 farads and a resistor of 1000 ohms.the initial charge on the capacitor is zero.if a 12 volt battery is connected to the circuit and the circuit is closed at t=0 find the charge on the capacitor 1 second later and the steady state charge

using the method of undetermined coefficients find the general solution of the differential equation y^iv-2y'''+2y''=3e^-x+2e^-x x+e^-x sinx

Solve the differential equation
(tanxtany − e^ycosx) + y'sec^2 y = 0.