Other Math Archive: Questions from April 19, 2023
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𑦠ð‘–ð‘£ + 0.45𑦠′′′ − 0.165𑦠′′ + 0.0045𑦠′ − 0.00175𑦠= 0 ; ð‘¦(0) = 17.4, 𑦠′ (0) = −2.82 , ð‘¦"(0) = 2.0485, 𑦠′′′(0) = −1.458675.
Assignment 8) solve the following initial value problems. a) \( y^{\prime \prime \prime}+3.2 y^{\prime \prime}+4.81 y^{\prime}=0 ; y(0)=3.4, y^{\prime}(0)=-4.6, y^{\prime \prime}(0)=9.91 \) b) \( 4 y^2 answers -
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2. Solve the Cauchy problem: \[ y^{\prime \prime} \operatorname{tg} y=2 y^{\prime 2}, y(1)=\frac{\pi}{2}, y^{\prime}(1)=2 \]2 answers -
4. Solve the Cauchy problem: \[ \begin{array}{l} y^{\prime \prime}-2 y^{\prime}+y=-12 \cos 2 x-9 \sin 2 x \\ y(0)=-2, y^{\prime}(0)=0 \end{array} \]2 answers -
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Problems 25, 27, 29, 31, and 33 only
In Problems 25-38, find \( y^{\prime} \). 25. \( y=x-\ln x \) 26. \( y=x^{2} \ln (2 x+3) \) 27. \( y=\frac{\ln x}{x} \) 28. \( y=\frac{1+\ln x}{x^{2}} \) 29. \( y=\ln \left(x^{4}+3\right)^{2} \) 30. \2 answers -
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Question 16 and 18 please
In Problems 1-18 solve each differential equation by variation of parameters. 1. \( y^{\prime \prime}+y=\sec x \) 2. \( y^{\prime \prime}+y=\tan x \) 3. \( y^{\prime \prime}+y=\sin x \) 4. \( y^{\prim2 answers -
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De los problemas 1 al 39 encuentre la representación matricial \( A_{T} \) de la transformación lineal \( T \), nu \( T, \operatorname{im} T, \nu(T) \) y \( \rho(T) \). A menos que se especifique ot2 answers -
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8. \( y^{(4)}+5 y^{\prime \prime}+4 y=1-u_{\pi}(t) ; \quad y(0)=0, \quad y^{\prime}(0)=0 \), \( y^{\prime \prime}(0)=0, \quad y^{\prime \prime \prime}(0)=0 \)2 answers -
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