I have the below differential equation but i miss something : $$y''+y'+y = 1$$ $$y(0)=0 , y'(0)=0$$ The homogeneous is y(t) = 0. But i cannot find the non-homogeneous
Simple non-homogeneous ode with constant coefficients
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ordinary-differential-equations
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0Big HINT: Set $y=Const$ – 2017-01-23
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0What function $y$ will make the left side equal to the right side? It's simple, don't overthink it! – 2017-01-23
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0Sorry but i am confused a lot if i set y(t) = 1 then how y(0)=0 ? – 2017-01-23
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0I solve it with matlab but i cannot conclude to this solution . – 2017-01-23
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1you set y(t) = 1 + (the general solution of the homogeneous). And then you apply your boundary conditions to fix the arbitrary constants in the general solution. – 2017-01-23
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0Thanks a lot my friend i was very very confused ... – 2017-01-23