Other Math Archive: Questions from January 29, 2023
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2 answers
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(1 point) Perform the following integrations: 1) \( y^{\prime}=6 e^{6 x} \sin \left(e^{6 x}\right) \Rightarrow y= \) 2) \( y^{\prime}=\frac{x+1}{x^{2}+2 x+4} \Rightarrow y= \) 3) \( y^{\prime}=\cos (22 answers -
Solve the following equations by the method of separation of variables. (a) \( y^{\prime}=y+5 \) (b) \( y^{\prime}=(1+x)(2+y) \) (c) \( y^{\prime}=(x+1)(\cos y)^{2} \) (d) \( y^{\prime}=2-x y^{2}-x+22 answers -
Solve the initial value problem. (f-h)
(e) \( y^{\prime \prime}=x e^{2 x}, \quad y(0)=7, \quad y^{\prime}(0)=1 \) (f) \( y^{\prime \prime}=-x \sin x, \quad y(0)=1, \quad y^{\prime}(0)=-3 \) (g) \( y^{\prime \prime \prime}=x^{2} e^{x}, \qua2 answers -
\[ \begin{aligned} \text { Let } U & =\{q, r, s, t, u, v, w, x, y, z\} \\ A & =\{q, s, u, w, y\} \\ B & =\{q, s, y, z\} \\ C & =\{v, w, x, y, z\} \end{aligned} \] List the elements in the set. \( A \c2 answers -
2 answers