Differential Equations Answers

sketch the curve x^3-x^2-6x
if x-2y=6, find the greatest value of y

xp+3yp=2(z-x2p2) solve this equation.

find the derivative of the function??

1. X1/2 ( x2 + x - 4 )

find the general solution for the differential equation
y'-6x^2=-6x^2

Solve for i(t) for the circuite, given that V(t) = 10 sin5t V, R=4 W and L =2 H. (Ri + L dt/di = v)

solve the second order differential equation

y" - 3y' + 2y = 3e^(-x) - 10cos3x y(0) = 1, y'(0) =2

solve the equation G (d^2)y/dx^2 - W(1-x)=0 where G and W are constants, subject to the conditions that y(0)=0 , y'(0)=1

Solve the initial value problem by using laplace tranformation.
y"-6y' +15y= 2sin3t y(0)=-1, y'(0)=-4

If w= f{ xy/(x^2 + y^2) } show that x.∂w/∂x + y.∂w/∂y = 0

If w=f S{xy/( x^2+y^2) } show that x.∂w/∂x + y.∂w/∂y =0