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Differential Equations
Solve dy/dx^2-y=0 in series
Differential Equations
Solve the equation
x^2y^2(2ydx+xdy)-(5ydx+7xdy)=0
x^2y^2(2ydx+xdy)-(5ydx+7xdy)=0
Differential Equations
(xz)dx+(zy)dy=(x^2+y^2)dz
Differential Equations
Eliminate the arbitrary constants indicated in brackets from the following equation and form corresponding partial differential equation :
\frac{1}{e^{z-(\frac{x^2}{y})}}= \frac{ax^2}{y^2} + \frac{b}{y}
Differential Equations
obtain the differential equation associated with the given primitive, a and b : y = tan (x +a)
Differential Equations
For 0 < x < 5 and t > 0 , solve the one-dimensional heat flow equation ∂u/∂t=4 ∂ ^2u/ ∂ x^2 satisfying the conditions u( t,0)= u (t, 5)= 0, u ( 0,x)=x.
Differential Equations
(D²-2DD'+D'²)z=12xy
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
