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Mathematics 19 Online
OpenStudy (anonymous):

solve the differential equation. dT/dz=-12z^5, T(0)=-9

OpenStudy (anonymous):

someone help please!!

OpenStudy (anonymous):

integrate dT/dz

OpenStudy (anonymous):

then substitute o and -9 in the integrated eq

OpenStudy (anonymous):

i dont know how to do that could you explain?

OpenStudy (anonymous):

to do integration or what?

OpenStudy (anonymous):

yes how do you integrate?

OpenStudy (anonymous):

\[\int\limits_{}-12*z ^{5}dz\]

OpenStudy (anonymous):

\[-2z\]

OpenStudy (anonymous):

\[-2z ^{6}\]

OpenStudy (anonymous):

there is a constant that also needs to be added

OpenStudy (anonymous):

T(z)=-2z^6+C?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

that would be the correct answer right?

OpenStudy (anonymous):

yes, susbtitute numbers into it

OpenStudy (anonymous):

thank you ! got it.

OpenStudy (anonymous):

so c=-9

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