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Differential Equations
Find the complete integral of (x+y)(p+q)^2+(x-y)(p-q)^2=1
Differential Equations
Apply the method of variations of parameters to solve the following differential equations:
a) x^2y''+xy'-y=x^2e^x
b)y"+a^2y=cosecax
a) x^2y''+xy'-y=x^2e^x
b)y"+a^2y=cosecax
Differential Equations
Solve the differential equation y ′′ =1+(y')^2
Differential Equations
According to Newton’s law of cooling, the rate at which a substance cools in moving
air is proportional to the difference between the temperature of the substance and that
of the air. If the temperature of the air is C
o
290 and the substance cools from
C
o
370 to C
o
330 in 10 minutes, find when the temperature will be C
o
295 .
air is proportional to the difference between the temperature of the substance and that
of the air. If the temperature of the air is C
o
290 and the substance cools from
C
o
370 to C
o
330 in 10 minutes, find when the temperature will be C
o
295 .
Differential Equations
Find the z – transform of z(cos tita) and z(sin tita)
Differential Equations
Solve: dy/dx + y = y^3(cosx - sinx)
Differential Equations
Solve: dy/dx + ylogy/x = y(logy)^2/x^2
Differential Equations
Solve : dy/dx + y/x = y^2/x^2
Differential Equations
Solve: dy/dx + 2xy= e^-x^2
Differential Equations
Solve: x^2y^2(2ydx + xdy) - (5ydx + 7xdy)=0
