Differential Equations Answers

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Solve the simultaneous equation
dx/(x-y)y^2 = dy/-(x-y)x^2 = dz/z(x^2+y^2)
Solve
x^2y''- 2xy'+2(1+x^2)y=0 , x>0
Write the equation ydx+ (x-y+x-2y)=0 in the linear form and hence find its solution.
uxx - (sech^4x)uyy = 0
Reduce into canonical form and solve it
2x(y+z^2)p+(2y+z^2)q=z^3
Solve the initial value problem
y"+y=0 y(0)=2 y'(0)=0
Solve the differential equation
d^2y/dx^2-2dy/dx+y=x^2e^2x
Solve the differential equation
dy/dx= x+2y-3/2x+y-3
Find a homogeneous linear differential equation with constant coefficient that is satisfied by y=4xe^xsin2x
y'=(y/x)+tan(y/x)
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