# Transform Dirichlet condition into mixed boundary condition

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Hello,
If I have a homgeneous linear differential equation like this one (or any other eq):
$$y''(x)-y'(x)=0$$
And they give me these Dirichlet boundary conditions:
$$y(0)=y(1)=0$$
Can I transform them into a mixed boundary conditions?:
$$y(0)=y'(1)=0$$

I tried solving the equation, derivating it and using the original boundary conditions but I don't get anything.

Thak you

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Orodruin
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