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What are the common things in using the variation of parameter methods to solve 1st-order and 2nd-order linear inhomogeneous ODES? Select one or more: O The coefficients in front of the dependent variable and its derivatives need to be constant. O We need to solve the homogenous O O We need to vary the arbitrary constant(s) in the general solution to the homogenous ODE to an unknown function of y. O We need to vary the arbitrary constant(s) in the general solution to the homogenous ODE to an unknown function of x. O We need to differentiate the assumed solution up to the order of the ODE, i.e. getting the expression of y' (or y' and y"), and put it (them) back to the original ODE. is ODE first.

What are the common things in using the variation of parameter methods to solve 1st-order and 2nd-order linear inhomogeneous ODES? Select one or more: O The coefficients in front of the dependent variable and its derivatives need to be constant. O We need to solve the homogenous O O We need to vary the arbitrary constant(s) in the general solution to the homogenous ODE to an unknown function of y. O We need to vary the arbitrary constant(s) in the general solution to the homogenous ODE to an unknown function of x. O We need to differentiate the assumed solution up to the order of the ODE, i.e. getting the expression of y' (or y' and y"), and put it (them) back to the original ODE. is ODE first.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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What are the common things in using the variation of parameter methods to solve 1st-order and 2nd-order linear inhomogeneous ODES? Select one or more: O The coefficients in front of the dependent variable and its derivatives need to be constant. O We need to solve the homogenous ODE first. We need to vary the arbitrary constant(s) in the general solution to the homogenous ODE to an unknown function of y. We need to vary the arbitrary constant(s) in the general solution to the homogenous ODE to an unknown function of x. O We need to differentiate the assumed solution up to the order of the ODE, i.e. getting the expression of y' (or y' and y"), and put it (them) back to the original ODE.
Transcribed Image Text:What are the common things in using the variation of parameter methods to solve 1st-order and 2nd-order linear inhomogeneous ODES? Select one or more: O The coefficients in front of the dependent variable and its derivatives need to be constant. O We need to solve the homogenous ODE first. We need to vary the arbitrary constant(s) in the general solution to the homogenous ODE to an unknown function of y. We need to vary the arbitrary constant(s) in the general solution to the homogenous ODE to an unknown function of x. O We need to differentiate the assumed solution up to the order of the ODE, i.e. getting the expression of y' (or y' and y"), and put it (them) back to the original ODE.
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