(1 point) Match the following differential equations with their solutions. The symbols A, B, C in the solutions stand for arbitrary constants. You must get all of the answers correct to receive credit. d²y 1. + 25y = 0 dr? dy 2. da -2ry z? – 5y? d²y 3. + 12y + 36y = 0 dr da? dy 4. 10ry da dy + 182?y = 182? da A. y = Ae5=2 B. y = A cos(5x) + B sin(5æ) C. y = Ae-6z + Bxe-6# D. 3ya? – 5y3 = C E. y = Ce-6z' +1 5.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.