Advanced Math Archive: Questions from July 18, 2022
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please solve 17th question.
In Problems 17-22, find a general solution to the differ ential equation. 17. \( y^{\prime \prime}-y=-11 t+1 \) 18. \( y^{\prime \prime}-2 y^{\prime}-3 y=3 t^{2}-5 \) 19. \( y^{\prime \prime}(x)-3 y^{1 answer -
1 answer
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Solve the initival value problem: \( y^{\prime}=2(4+7 x)\left(1+y^{2}\right), \quad y(0)=-1 \) \[ y= \]1 answer -
(1 point) Solve the initial value problem \( t y^{\prime \prime}-t y^{\prime}+y=3, y(0)=3, y^{\prime}(0)=-1 \) \[ y= \]3 answers -
3 answers
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3 answers
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Using the cosine function, state the equation of the graph. \[ \begin{array}{l} y=-2 \cos \left(2 \theta-180^{\circ}\right)-1 \\ y=2 \cos \left(2 \theta-90^{\circ}\right)-1 \\ y=2 \cos \left(\theta-181 answer -
Solve the initial value problem \[ y^{\prime \prime}+1 x y^{\prime}-4 y=0, y(0)=3, y^{\prime}(0)=0 \]1 answer -
Ch5.1 - Power Series: Problem 2 (1 point) \[ \text { If } y=\sum_{k=0}^{\infty}(k+1) x^{k+3} \text { then } y^{\prime}=\sum_{k=0}^{\infty} \]1 answer -
3 answers
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(c) \( \int_{0}^{\frac{\pi}{3}} \frac{\sin x}{(1+\cos x)^{2}} d x \) (d) \( \int_{0}^{1} \int_{\sqrt{x}}^{1} \frac{3}{4+y^{3}} d y d x \)3 answers