Other Math Archive: Questions from March 05, 2023
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2 answers
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Let \( U=\{q, r, s, t, u, v, w, x, y, z\} \) \[ \begin{array}{l} A=\{q, s, u, w, y\} \\ B=\{q, s, y, z\} \\ C=\{v, w, x, y, z\} \end{array} \] List the elements in the set. \( A \cup B^{\prime} \) A.2 answers -
\[ \text { Let } \begin{aligned} U & =\{q, r, s, t, u, v, w, x, y, z\} \\ A & =\{q, s, u, w, y\} \\ B & =\{q, s, y, z\} \\ C & =\{v, w, x, y, z\} \end{aligned} \] List the elements in the set. \[ C^{\2 answers -
ODE
Solve: \( \left(-3 x^{2}-y\right) d x+\left(3 y^{2}-x\right) d y=0 \). \[ y d x+\left(2 x y-e^{-2 y}\right) d y=0 . \] \[ \frac{d y}{d t}=\frac{2 y^{4}+t^{4}}{t y^{3}} \] \[ \frac{d y}{d x}=(x+y+4)^{20 answers -
1, 2 12
1. \( (2 x+1) y^{\prime \prime}-2 y^{\prime}-(2 x+3) y=(2 x+1)^{2} ; \quad y_{1}=e^{-x} \) 2. \( x^{2} y^{\prime \prime}+x y^{\prime}-y=\frac{4}{x^{2}} ; \quad y_{1}=x \) 3. \( x^{2} y^{\prime \prime}0 answers -
Prove, using the rules of natural deduction, the following sequents:
Parte 1: Demuestre, usando las reglas de deducción natural, los siguientes secuentes: 1.- \( \left\{p->q, p^{\wedge} r\right\}+q^{\wedge} r \) 2.- \( \{p->(p->q), p\}+q \) 3. \( -\{p->q, p->r\}+p->\l2 answers