1. Which of the following are linear ODE? Which are non-linear ODE? Find the order of the equations. (a) yy" + y + 2y = 0 (b) (y)² + e = sin(x) (c) ey" + sin(x)y' + ln(x)y = 0 (d) sin(ry') + y = 0

Q: Which of the following is the derivative of the function g(0) = cos(0) – sin(0)? Ogʻ(0) = cos(0) +…

A: Derivative.

Q: A function f satisfies the following conditions. f(-3) = 2, f' (-3) = 0, f(-1) = 5, f' (-1) = 0, f…

A: Given that the function f satisfies the following conditions f(-3) = 2, f'(-3) = 0, f(-1) = 5,…

Q: (1 point) Find the derivative of the following function F(x) = (2t – – 1)³ dt

A:

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A:

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A:

Q: Calculate the derivative of the function. f(x) = [(2x – 1)2 + (1 – x)°]? %3D f'(x) = %D

A: We will find the derivative using chain rule.

Q: cos 2x dx (b) 4 cos t dt 0 2

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Which of the following is not equal to the derivative of y = (cos(x) – sin(æ))?? A 2 (2 sin? (x) –…

A: The given function is y=cosx-sinx2

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A: Given, y=(2x+3)(3-x2) To evaluate derivative of y

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A:

Q: Find the derivative of each of the following functions. a) f(r) - VE+-+ V2 +e" b) f(r) – (e*+2)ln(5…

A:

Q: (a) -3r*, (b) x* + 4r3 + 6x2 + 4x + 1, (c) Ar10 + bx+c (A, B and C are constants).

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x (x+ 3)5 15) у - In 6х- 8 A)…

A: Given that:y=ln1-xx+35To find derivative

Q: Example 7: Find all of the second derivatives for f (x, y) = 3xy2 + 2xy + x2. %3D

A:

Q: Q. No.1 a) Use logarithmic differentiation to find dy/dx of the expression: 3 2(2x+1)(x-3)…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: * Evaluate. (sec6(x)) dx

A:

Q: Assume that h[n]=(-1)"g[n]. What is the relation between H(2) and G(z) o HZ) = (- 1)" G(z) H(2)…

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Q: d (c) (cos(2²) + In(3 – 2æ)) dx

A:

Q: Identify which of the following functions require chain rule application to obtain their…

A: Chain rule is applicable for Composition of two functions only

Q: Y(6) = cot(5s)- 3 tan s - csc (5s)- 3 sec' s s:y (s) |

A:

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A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: 2sin(y)cos(y) sint(y)+costy) dy

A:

Q: Summarize the method used for solving linear, first-order ODE's. What theorem is used to justify…

A: A first-order linear differential equation is written like dydx+Pxy=Qx             (i) Here, Px, Qx…

Q: State the sign change at the transition point C in the figure. y y = f(x) A B C D E F G -X What is…

A: To state the sign change of the function at the point C.