Differential Equations Answers

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Find the complete integral of the equation
∂z/∂x[1+(∂z/∂y) ^2]=∂z/∂y(z-a)
d2^x/dt^2 - 6 dx/dt +9x =0; when t =0, x =2 and dx/dt = 0
Solve
x(x^2+y^2-a^2)dx+y(x^2+y^2-b^2)dy=0
Find the equation of integral surface to the differential equation

2y(z-3)p+(2x-z)q=y(2x-3)
Find the equation of integral surface to the differential equation

2y(z-3)p+(2x-z)q=y(2x-3)
Solve dy/dx +2xy= 1+x²+y² given y'(x)=x is a solution.
e^x dx+(e^x coty +2ycscy)dy=0
y'+2ty=4t^3
Solve:(p − q)z = z^2 + (x + y)^2
Find the Laplace transforms of
f(t)={4,0<=t<=1
{3,t>1.
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