Solve the initial value problem once using power series method
and once using the characteristic method....
Solve the initial value problem once using power series method
and once using the characteristic method. Please show step for both
3) 3y”−y=0, y(0)=0,y’(0)=1
Note that 3y” refers to it being second order
differential and y’ first
Use the power series method to solve the given initial-value
problem. (Format your final answer as an elementary function.)
(x − 1)y'' − xy' + y = 0, y(0) = −4, y'(0) = 7
y =
Use the power series method to solve the given initial-value
problem. (Format your final answer as an elementary function.) (x −
1)y'' − xy' + y = 0, y(0) = −7, y'(0) = 2
Use the power series method to solve the given initial-value
problem. (Format your final answer as an elementary function.)
(x − 1)y'' − xy' + y = 0, y(0) = −7, y'(0) = 2 Use the power
series method to solve the given initial-value problem. (Format
your final answer as an elementary function.)
Use power series approximations method to approximate the
solution of the initial value problem: y"− (1+ x) y = 0 y(0) = 1
y'(0) = 2 (Write all the terms up to the power ). x^4
Using the power series method solve the given IVP. (The answer
will include the first four nonzero terms.)
(x + 1)y'' − (2 − x)y' + y = 0, y(0) = 4, y'(0) = −1
Using the method of separation of variables and Fourier series,
solve the following heat
conduction problem in a rod.
∂u/∂t =∂2u/∂x2
, u(0, t) = 0, u(π, t) = 3π, u(x, 0) = 0