y(x)=A*e^(λx) ; y'=λy(adsbygoogle = window.adsbygoogle || []).push({});

attempt at solution:

y'(x)= Ae^(λx)*λ

λy= Ae^(λx)*λ

divide by λ, which cancel. then i get:

y=Ae^(λx)

i want to say the differential equation holds but the issue i see is that y' and y'(x) are not equal derivatives, so my final answer is that the differential equation does not hold. what do you guys think?

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# Solutions to differential equations

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