Question
In: Math
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
Solutions
milcah answered 2 years agoRelated Solutions
Use the power series method to solve the given initial-value problem. (Format your final answer as...
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...
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...
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+...
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
Solve the initial value problem below using the method of Laplace transforms. y'' - 4y' +...
Solve the initial value problem below using the method of
Laplace transforms.
y'' - 4y' + 8y = 5e^t
y(0) = 1
y'(0) = 3
solve the given initial value problem using the method of Laplace transforms. Y'' + Y =...
solve the given initial value problem using the method of
Laplace transforms.
Y'' + Y = U(t-4pi) y(0) =1 y'(0) = 0
Using the power series method solve the given IVP. (The answer will include the first four...
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
. Solve the Initial value problem by using Laplace transforms: ? ′′ + 3? ′ +...
. Solve the Initial value problem by using Laplace transforms: ?
′′ + 3? ′ + 2? = 6? −? , ?(0) = 2 ? ′ (0) = 8
Using the method of separation of variables and Fourier series, solve the following heat conduction problem...
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
Solve the initial value problem: 4y''+12y'+9y=0 y(0)=1, y'(0)=-4 a. Using the characteristic equation of the above....
Solve the initial value problem:
4y''+12y'+9y=0 y(0)=1, y'(0)=-4
a. Using the characteristic equation of the above.
b. Using Laplace transform.
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