21. Determine the largest interval on which a unique solution of the following initial value problem is sure to exist? 1 tant *(f - 9)y" - ," + y(1) = 0, y'(1) = -1 2 -t° t+4' O (-2,0) ㅇ (0, 1) O (0,3) ㅇ (0, 플) ㅇ (-2,3)

Q: 6. Find y' if y = ecotx? A. -2x [csc²(x²)] (ecotx") B. -[ csc (x*)] (ecotx") C. [cot(x²)]…

A:

Q: tS W C (b) Suppose that a function h is such that h(-1) 5 and h'(x) 2x +3. Find the equation of the…

A: The derivative of the function h(x) is given by,

Q: y' = 3√y + 6x³ 3

A:

Q: Longest interval for (t+2)y’’-(sint)y’+ty/t-4=e^2t/t y(-1)=0

A:

Q: A function H is differentiable at x = 2. An equation for the line tangent to the graph of H at x = 2…

A:

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.