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Problem $10$

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Problem $12$

$(1$ point$)$

Results for this submission

$1$ of the answers is NOT correct.

Put the differential equation $7ty{e}^t{y}^{\text{'}}=\frac{y}{t^{2}49}$ into the form $y^{\text{'}}p(t)y=g(t)$ and find $p(t)$ and $g(t).$

$p(t)=\frac{7t}{e^t}-\frac{1}{e^t(t^{2}49)}$

$($i$)$

$$

help $($formulas$)$

$g(t)=$

$$

$$ help $($formulas$)$

Is the differential equation $7ty{e}^t{y}^{\text{'}}=\frac{y}{t^{2}49}$ linear and homogeneous, linear and nonhomogeneous, or nonlinear?

Answer: $$ linear and nonhomogeneous

Note: In order to get credit for this problem all answers must be correct.

$$

$$

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