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3(6x+2y)=x-8y-10

d/rdr(rdv/dr) +1/r^2(d^2v/do^2)+d^2v/dz^2 + k^2=0 assignment expert. Solve by method of separation of variables

Solve the following ODE using the power series method:

(x + 2)y′′ + yx ′ − y = 0

(x + 2)y′′ + yx ′ − y = 0

Reduce the following PDEs to a set of three ODEs by method of separation of variables 1/R(d/Dr(rdv/dv))+1/r(d

Solve the following ODE using the power series method:

(x + 2)y" + xy' − y = 0

(x + 2)y" + xy' − y = 0

P2+ 2 py cot x=y2

solve (2x+3)^2d^2y/dx^2-(2x+3)dy/dx-12y=6x

(2x+1)^2 d^2y/dx^2 - 2(2x+1) dy/dx- 12y= 6x

solve by taking substitution (2x+1)= e^t

solve by taking substitution (2x+1)= e^t

y dy+x dx = √x^2+y^2dx

Using the method of undermined coefficient find the general solution of D.E

y^iv-2y^'''+2y^''=3ye^-x+2e^-x(x)+e^-xsinx.

y^iv-2y^'''+2y^''=3ye^-x+2e^-x(x)+e^-xsinx.