Question
Solve the following differential equations: x dy = (x + y + 1) dx
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1.$\bar{a}=-9 \hat{i}+6 \hat{j}+15 \hat{k} \bar{b}=6 \hat{i}-4 \hat{j}-10 \hat{k}$
2.$\bar{a}=2 \hat{i}+3 \hat{j}-\hat{k}, \bar{b}=5 \hat{i}-2 \hat{j}+4 \hat{k}$
3.$\bar{a}=-\frac{3}{5} \hat{i}+\frac{1}{2} \hat{j}+\frac{1}{3} \hat{k}, \bar{b}=5 \hat{i}+4 \hat{j}+3 \hat{k}$
4.$\bar{a}=4 \hat{i}-\hat{j}+6 \hat{k}, \bar{a}=5 \hat{i}-2 \hat{j}+4 \hat{k}$
$\int_0^\pi x \cdot \sin x \cdot \cos ^4 x d x$