Given the first order initial value problem, select all three correct answers: dy _ 2x+3y (1) = 2 = dx 4y- 3x DA The given equation is exact. OB. The given equation is linear. OC The given equation is Bernoulli. OD: An implicit solution is given by: x2 +1+3xy- 2y² = 0 DE. The given equation is separable. OF. (-1)=

Q: Solve: 7x -9x%3D 2x-5 5-2x O A. x= 3 O B. x=-,-3 OC.x=--3 O C. x=-. D. x=--,3 E. None of the above 6

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Q: Find all solutions of the form y = erx for the equation y''−y'−2y = 0. Then write the most general…

A: This is a second order differential equation. The solution of a second order differential equation…

Q: 4- Solution of the following equation 4xy²dx + (x² + 1)dy = 0 is

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Q: Solve the given equation.. (e2x +y-1)dx dy = 0 a. b. y = Ce* + e²x + x y = Ce=x+1+e²x y = Cex +1+e²x…

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Q: Find a solution to dy = xy + 4x + 3y + 12. If necessary, use k to denote an arbitrary constant. dx…

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Q: The model for long-term average temperature f(x), in degrees Celsius, at the Willburn airport is…

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Q: Solve the given equation.. (3x?у +2ху + у?)аdx + (x2 + у?)dy %3D0 (3x?y+y)e3x = C (3x?y + y³)e3x = C…

A: Recall:  If the equation M(x,y)dx+N(x,y)dy=0 is not exact and ∂M∂y-∂N∂xN is a function of x…

Q: 98. 2kg/m° × 3.45 × 10° + 2.31228 × 10 0.2- %3D kgx c

A: Given equation is 998.2 kg/m3×3.45×103 Jkg× oCdTdt+2.31228×10−6 Wm3=0.2Wm oCd2Tdt2

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.