Other Math Archive: Questions from January 01, 2023
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find the differential eqution
2. \( y^{\prime \prime}-y^{\prime}-12 y=0, y(0)=3, y^{\prime}(0)=5 \) 3. \( y^{\prime \prime}-3 y^{\prime}+2 y=4 x^{2} \)2 answers -
13. \( y=c_{1} e^{x} \cos x+c_{2} e^{x} \sin x ; \quad y^{\prime \prime}-2 y^{\prime}+2 y=0 \) (a) \( y(0)=1, \quad y^{\prime}(\pi)=0 \) (b) \( y(0)=1, \quad y(\pi)=-1 \)1 answer -
1 answer
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7. Which of the following statement(s) is true? \[ \begin{array}{l} (\forall x \forall y P(x, y)) \vDash(\forall y \forall x P(x, y)) \\ (\exists x \forall y P(x, y)) \vDash(\forall y \exists x P(x, y2 answers