Solve the equation. y′′−6y′+9y=0 ; y(0)=2,y′(0)=−4
a. using differential equation method
b. using Laplace transformation method
By method variation of parameters solve the ODE(D^2+4)y=2 cosec2x?
Solve 𝑥2𝑦``−3𝑥𝑦`+5𝑦=𝑥2sin(𝑙𝑛𝑥) ;𝑦(1)=1,𝑦`(1)=0
Find the power series solution of the differential equation
𝑦``+𝑥𝑦`+(𝑥2+2)𝑦=0
𝑦``+𝑥𝑦`+(𝑥2+2)𝑦=0
p²+q²=4