S.2 „Determine whether the equation (3x + 2y)dx + (2x + y)dy = 0 is exact. Find the solution if it is exact.

Q: The average human body contains 18 gallons of water. A particular person drinks 1.2 gallons of water…

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Q: it is placed outside. In 5 min the thermometer reading is 60°F. later, it is 55°F. Find the outdoor…

A: According to Newton's Law of cooling : The rate of change of temperature of a body is directly…

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

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Q: y' = 2メー1 2 e

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Q: Determine the form of a particular solution for the differential equation. Do not solve.

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Q: At 7:00 AM, a thermometer reading 70 degrees Celsius is taken outside where the air temperature is…

A: Given that, Ts=-10°CT0=70°C

Q: y(4x + y)dx - 2(x² - y)dy = 0

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Q: 3. Solve the differential equation 2xy = 4x +3y² dx

A: Given differential equation is  2xydydx=4x2+3y2

Q: Find the general solution of the differential equation. 4dy + ydx = x²dy

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Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

A: To find- Make an Original Example of "Elimination of Arbitrary Constants"

Q: Solve the follow ing zy+zy I

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Q: D10 + 40D³ + 630D® + 4860Dª + 18225D² + 26244 = 0 %3D

A: In the given question ordinary differential equation is given as:   D10 + 40 D8 + 630 D6 + 4860 D4 +…

Q: Using an operator , solve the following differential equations d2y/dx2- 10dy/dx + 25y= 0

A: This question is based on solution of differential equation using D operator.

Q: Differential Equations - Find the general solution: dv dx - 3v = 2xe³x

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Q: Solve the differential equations. ii. ду? 4x²y = e²y -

A: The given differential equation is                                     ∂2u∂y2-4x2y=e2y

Q: 3. A biologist is studying the growth of bacteria cells in a culture. She begins with 10 cells of…

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Q: Find solution of the equation x2 = 17 by the Newton's method.

A: We find the solution of x2=17 by Newton's method.

Q: Differential Equations Solve dx² + 4y = e-²x

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Q: У - 2у+ %3D 1+ x

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Q: to find the genecal solution of the special typeequation given above.

A: We have to find the general solution of the special type equation given below:…

Q: general solution: Find the homogenous linear differential equation with constant coefficients that…

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Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

A: To Do: Make an original example of the elimination of arbitrary constants (Differential Equation).

Q: S.4 Identify the type of the equation dy = - dr and solve it.

A: We have to find general solution of the differential equations.

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.