Find the general solution of the differential equation y′=e6x−7x.

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15-02-2018
Mathematics

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Find the general solution of the differential equation y′=e6x−7x.

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evgeniylevi evgeniylevi · Answer 1 · 2018-02-21T13:50:03+01:00

evgeniylevi evgeniylevi

21-02-2018

Consider this option:
1) dy/dx=e⁶ˣ-7x; => dy=(e⁶ˣ-7x)dx;
2) [tex]y= \int\ {(e^{6x}-7x)} \, dx; \ =\ \textgreater \ \ y= \frac{1}{6}e^{6x}- \frac{7}{2}x^2+C.[/tex]

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