The differential equation whose general Explanation:tion is given by, y= (c_ 1 (x+c_ 2 )…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
The differential equation whose general Explanation:tion is given by,
\(y=\left(c_{1} \cos \left(x+c_{2}\right)\right)-\left(c_{3} e^{\left(-x+c_{4}\right)}\right)+\left(c_{5} \sin x\right)\), where c1, c2, c3, c4, c5 are arbitrary constants, is
\(y=\left(c_{1} \cos \left(x+c_{2}\right)\right)-\left(c_{3} e^{\left(-x+c_{4}\right)}\right)+\left(c_{5} \sin x\right)\), where c1, c2, c3, c4, c5 are arbitrary constants, is
- \(\frac{d^{4} y}{d x^{4}}-\frac{d^{2} y}{d x^{2}}+y=0\)
- \(\frac{d^{3} y}{d x^{3}}+\frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}+y=0\)
- \(\frac{d^{5} y}{d x^{5}}+y=0\)
- \(\frac{d^{3} y}{d x^{3}}-\frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}-y=0\)
Answer
(B) d^ 3 y d x^ 3 + d^ 2 y d x^ 2 + d y d x +y=0
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