Question

Encontre a família de soluções da EDO:​

Answer 1

$\sf\dfrac{dy}{dx}=3y\\\sf\dfrac{dy}{y}=3dx\\\displaystyle\sf\int\dfrac{dy}{y}=\int 3~dx\\\sf\ell n|y|=3x+c\\\sf e^{\ell n|y|}=e^{3x+c}\\\sf y=e^{3x}\cdot e^c\\\huge\boxed{\boxed{\boxed{\boxed{\sf y=ke^{3x}}}}}\blue{\checkmark}\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~a}}}}$