dy A(x) + B(x)y = C(x). dx O variable separable equation O Non-exact equation O exact equation O linear equation of order one

Q: FLUENCY 1. Which of the following is a quadratic function? (1) y= 3x-2 (3) y=x -4 (2) y = x' +2x -1…

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Q: d'y - =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve…

A: Taking integrate on both side with respect to x.

Q: (2.xy + 16x + 4y + 32) dx + (3xy – 9y – 7x + 21) dy = 0, y (4) = – 7

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Q: (х + 2у — 1)dx — (2х + 4у — 3)dy 3 when x — 1 & у 3D 0 - -

A: We are asked to solve the differential equations.

Q: he slope of the line tangent to the curve y = x -8x3 + 22x2 - 24x +9 at x=1 is (a) -2 (b) 2 (c) 0…

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Q: (5) 1 p1-x p1-x-y (5x-3y) dz dy da

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Q: During the process of finding the stationary points of a particular function f(x,y) you are lead to…

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Q: dy = 12x2 – 7eI 5) Find the equation of the curve that passes through (0, 9) if its slope is given…

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Q: Find the order of the equation

A: Step 1:   Step 2: Step 3: Step 4:

Q: Use the linearization L(3,-2) (x, y) of f(x, y) = -x²y-xy² near the point (3, -2) to approximate the…

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Q: y²-2x2 xy²-x 3 2y² x y²-x3y 2. dx + 2. dy =0 2.

A: Use homogeneous equation

Q: Linear First-Order Equations y dx = (e + 2xy – 2x) dy |

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Q: * This equation is an example for linear equations dy y = x²e* + dx False O True

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Q: f(x) = 4x - 3 g(x) = 5x2 – 2 %3D f° g)(x) b. (g°f)(x) (f° g)(2) a. С.

A: Given: fx=4x-3 & gx=5x2-2 Part a; f∘gx=f5x2-2f∘gx=45x2-2-3f∘gx=20x2-8-3(f∘g)(x)=20x2-11 Part b:…

Q: D xy4dx +(y+1)E? dy =

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: d?y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1)…

A: We will do this question by checking the conditions for the given options.

Q: Integrating Factor by Formulas: (4) (4xy + 3y² – x)dx + x(x + 2y)dy = 0 (5) y(x + y + 1)dx + x(x +…

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Q: Effect of Capital and Labor on Productivity The production of a South American country is given by…

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Q: arcsin = ab? x? - Va2- y2: Find y'. 2abe (+0) /a-y 1-y 2ab a 1-y 2ab a /a-y %3D

A: We neee to find derivative of y for the function given below:

Q: Find the x- and y-intercepts of the graph of the equation. y = 3/4x-6 x−intercept     (x, y) =…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: Ut + (x+t) Ux = t ; U(x,0) = f(x) This is applied math question. Solve the linear ODE

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Q: yete (t+3)− −¹+0 e Solve for y. ye-¹=(-t-4) et+C

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Q: x= y2-5 x-intercept     (x, y) = y-intercept (x,y)=          (smaller y-value) y-intercept (x,y)=…

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Q: y² = x + 1 x-intercept (x, y) = y-intercept (x, y) = y-intercept (x, y) = -1.0 (smaller y-value)…

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Q: (1-x²) d² )' dx² dy +2x+y=0 dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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.