Suppose the value of yy and the value of xx vary together at a constant rate of change (so that Δy=0.75⋅Δx), and y=1.5 when x=3   What is the constant rate of change of y with respect to x?     Write a formula that expresses y in terms of x.      What is the value of y when x=103?

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A: Given; x2+y2=45, dx/dt=-2 ,x=3.

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Q: In the equation, x² + y² = 45, what is the value of the rate of change in y with respect to time t…

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Q: Suppose the value of yy and the value of xx vary together at a constant rate of change (so that…

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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.