Using a power series methodology, obtain the general solution (form u = c1u1 + c2u2 +...

Using a power series methodology, obtain the general solution (form u = c1u1 + c2u2 + f(x)) to the equation u” + 4u = x.

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Colby Messinger answered 2 years ago

Sketch the potential-well diagram of finite height U and length L, obtain the general solution of...

Sketch the potential-well diagram of finite height U and length L, obtain the general solution of the Schrödinger equation for a particle of mass m in it

Consider the equation y''− (sin x)y = 0. Find the general solution as a power series...

Consider the equation y''− (sin x)y = 0. Find the general solution as a power series centered at x = 0. Write the first six nonzero terms of the solution. Write the two linearly independent solutions that form the general solution. Differential Equations

Find the general power series solution to the following ode: y"-4xy'+(4x2-2)y=0

Find the general solution using REDUCTION OF ORDER. and the Ansatz of the form y=uy1 =...

Find the general solution using REDUCTION OF ORDER. and the Ansatz of the form y=uy1 = y=ue-x (2x+1)y'' -2y' - (2x+3)y = (2x+1)2 ; y1 = e-x Thank you in advance

Differential Equations: Find the general solution by using infinite series centered at a. 3. y′′ +...

Differential Equations: Find the general solution by using infinite series centered at a. 3. y′′ + (x+1)y′ − y = 0, a=−1.

Differential Equations: Find the general solution by using infinite series centered at a. 5. xy′′− 2y′−...

Differential Equations: Find the general solution by using infinite series centered at a. 5. xy′′− 2y′− 2y = 0, a=0.

Differential Equations: Find the general solution by using infinite series centered at a. 4.xy′′+ y′− y...

Differential Equations: Find the general solution by using infinite series centered at a. 4.xy′′+ y′− y = 0, a=0.

Differential Equations: Find the general solution by using infinite series centered at a. 2. (x2 +1)y′′...

Differential Equations: Find the general solution by using infinite series centered at a. 2. (x2 +1)y′′ + xy′ + y = 0, a=0.

That is, PDEs of the general form A(x, y, u) ∂u(x, y) ∂x + B(x, y,...

That is, PDEs of the general form A(x, y, u) ∂u(x, y) ∂x + B(x, y, u) ∂u(x, y) ∂y = C(x, y, u), (1) for some A, B and C. To solve such PDEs we first find characteristics, curves in the solution space (x, y, u) parametrically given by (x(τ ), y(τ ), u(τ )), which satisfy dx dτ = A(x, y, u), dy dτ = b(x, y, u), du dτ = C(x, y, u). (2) We find solutions...

1)Find the power series solution for the equation y'' − y = x 2)Find the power...

1)Find the power series solution for the equation y'' − y = x 2)Find the power series solution for the equation y'' + (sinx)y = x; y(0) = 0; y'(0) = 1 Provide the recurrence relation for the coefficients and derive at least 3 non-zero terms of the solution.

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