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Differential Equations
Q. Find the power series solution of the differential equation about an ordinary point x=2.
y’’+(x-3)y’+y=0
y’’+(x-3)y’+y=0
Differential Equations
Q. Find the power series solution of the differential equation about an ordinary point x=1.
xy’-y=0 and y’’-xy’+2y=0
xy’-y=0 and y’’-xy’+2y=0
Differential Equations
Q. Find the power series solution of the differential equation.
y’’+y=0 about an ordinary point x=0
y’’+y=0 about an ordinary point x=0
Differential Equations
Q. Solve
dy/dx+3y/x-y^2=1/x^2 , y1=1/x is a particular solution.
dy/dx+3y/x-y^2=1/x^2 , y1=1/x is a particular solution.
Differential Equations
Q. solve
dy/dx-y/x-x^3 y^2=-x^5, y1=x is a particular solution.
dy/dx-y/x-x^3 y^2=-x^5, y1=x is a particular solution.
Differential Equations
Solve the following differential equations
(i) x^2 p + y^2 q = ( x+ y) z .
(ii) (root of p) − (root of q) + 3x = 0
(i) x^2 p + y^2 q = ( x+ y) z .
(ii) (root of p) − (root of q) + 3x = 0
Differential Equations
Find the equation of the integral surface of the differential equation
(x^2 − yz) p + ( y^2 − zx) q = z^2 − xy
which passes through the line x =1, y = 0
(x^2 − yz) p + ( y^2 − zx) q = z^2 − xy
which passes through the line x =1, y = 0
Differential Equations
Solve the following differential equations
(i) [D^3 − DD′^2 − D^2 + DD′] z = 0
(ii) [D^4 − D′^4 − 2D^2 D′^2 ] z = 0 .
(iii) [D^2 − 2DD′ + D′^2 ] z =12xy
(i) [D^3 − DD′^2 − D^2 + DD′] z = 0
(ii) [D^4 − D′^4 − 2D^2 D′^2 ] z = 0 .
(iii) [D^2 − 2DD′ + D′^2 ] z =12xy
Differential Equations
Q. solve (D2−4)y=2−8x
Differential Equations
Q. solve (D4−2D3+D)y=x4+3x+1
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#339914 on Dec 2023
#339914 on Dec 2023