Find the general solution of the differential equation. (Use C for the constant of integration. dy 12 6x2 6x + 8

Q: 7. 2 2 -3 3 -1 | | -5 -2 +5 2 In y 0 0 ise x+y+z=? 4 1 5e? 5 8 a) O 0 b) Hiçbiri c) d) 3 e) Boş…

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Q: Can you dolve the differential equation? (b and a are variables)   (D2+4D+3)b=1+2a+3a2

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Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: SOLVE FOR CL is constant : A² jª (a²-2₁²x² + x²) dx = 1

A: The given integral is A2∫-aaa4-2a2x2+x4dx=1. We have to find the value of a.

Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: dP/dt = P - P2 ; solve by seperation of variables.

A: It is required to solve the given differential equation using separation of variables. dPdt=P−P2

Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: Find the differential equation whose general solution is y=c1e4t+c2e-5t

A: Find the differential equation of given solution.

Q: 2- Solve (4x + 2y + 3)dx - (6x + 3y – 2)dy = 0.

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Q: (x²y)dx + (x³ + 2y³)dy = 0 ||

A: According to the given information, it is required to solve the differential equation using…

Q: Find the solution of the dy Qoec() +y d'ifferential equation.

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Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: Find the differential of the function. u = 2x + 7 du = %3!

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Q: The deceleration of a certain tugboat in the water is directly proportional to the cube of the speed…

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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.