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Cornel19-Tanzanite
19-Tanzanite
September 13, 2023
Solved

Differential Equation: Laplace question

Hello,

Cornel_0-1694591652974.png

 

Cornel_1-1694591718004.png

What to do in the case of blue rectangle if someone wants to solve this differential equation using laplace?

 

22 replies

Cornel19-TanzaniteAuthor
19-Tanzanite
September 13, 2023

Second question:

Cornel_0-1694592838802.png

 

Cornel_1-1694592893615.png

 

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Cornel19-TanzaniteAuthor
19-Tanzanite
September 13, 2023

Third question:

Cornel_0-1694593398574.png

Cornel_1-1694593464447.png

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Cornel19-TanzaniteAuthor
19-Tanzanite
September 13, 2023

Forth question:

Cornel_0-1694593596981.png

Cornel_1-1694593628624.png

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LucMeekes23-Emerald IV
23-Emerald IV
September 13, 2023

I see you are using Prime 9. One of the new features of Prime 9 is that it is capable of solving ODE's symbolically.

I suggest you try that, instead of going the Laplace route. If Prime is capable enough, it should be able to give the solution to your ODE as

LucMeekes_0-1694597761795.png

Where c is a constant.

Proof:

LucMeekes_1-1694597797406.png

Success!
Luc

 

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Cornel19-TanzaniteAuthor
19-Tanzanite
September 13, 2023

Prime 9 result:

Cornel_0-1694598027316.png

 

I want to have also the result with laplace transform (if it is possible)...as a second check

or when:

Cornel_0-1694598429957.png

 

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LucMeekes23-Emerald IV
23-Emerald IV
September 13, 2023

I find the result interesting.

What number could _z be if it is not part of the set of complex numbers?

 

Success!

Luc

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