Sive an example of a Ist order differential equation in each of the 4 categories below. et the expression x* and the number 16 appear in every equation. linear not linear dy dæ dy dæ eparable dy dæ dy dæ not separable || || || ||

Q: dy f(x). At the point dx f(0) = -7 does f have a relative minimum, relative maximum or neither?…

A: Given that If  then relative minimum exists. If  then relative maximum exists. If  then neither…

Q: Find dy/dx when 1. 2. 3. 4. 5. dy dx dy dx dy dx dy dx dy dx x³ + 2y³ - 9xy - 1 = 0. x² - 3y X 2y² +…

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Q: The shown RLC circuit with a driven by the voltage E(t) = - resistor, a 25 0.08t² V. 100 H inductor,…

A: Given that,

Q: Which differential equation corresponds to the slope field shown here? 1.0-// // // 0.5- // // //…

A: From the given slope field we see that slope of every point on the field is non-negative. And slope…

Q: solve the differenctil equation by undtermeind coefficients y'' +2y = -18x2e2x   y(x) = ?

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Q: U² - 2 If y = sin U+2 and u = cos(x² +2x+1), find- ddy dx dx Note: Just do the single derivative and…

A: The single derivative is:dxdy​=−sin(x2+2x+1)⋅(2x+2)⋅cos(u+2u2−2​)⋅((u+2)2u2+4u+2​)The value of dxdy​…

Q: Which slope field is associated with the differential equation given below? dy dx = 1-y Choose the…

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Q: Consider the differential equation dy = x – dx - 2y, for which the solution is g(x). Which of the…

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Q: Complete the sentence below. Iff is a one-to-one function and f(3) = 6, then f(6) = If f is a…

A: One one functions

Q: Use implicit differentiation to verify whether the relation (x² – 2y²)e²xy implicit solution of the…

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Q: dy :- y = e*y2 dx

A: Given equation is

Q: Find a particular solution y, of the following equation. Primes denote the derivatives with respect…

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