A radioactive substance decreases from 10 grams to 9 grams in 9.4 hours. Find its half-life. Express your answer in hours and round-off to three (3) decimal places.

Q: Answer in complete solution this Differential Equation:…

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Q: Answer in complete solution this Differential Equation:…

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Q: y" + y = cott

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Q: Solve the differential equation- ydx + x (1+y) dy= 0

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Q: can you give an example in real life, where differential equations are applied?

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Q: Explain when Euler’s Method produces an exact particular solution of a differential equation?

A: Euler’s Method produces an exact particular solution of a differential equation?

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Q: Find the solution of the following differential equation: у" — Зу" + 4у %3D6+ 80сos(2x)

A: The general solution will be the sum of the complementary solution and particular solution.   The…

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Q: What are modeled with differential equations?

A: Here we define the differential equations.

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Q: 5. e-ta s²+28+7 { = ?

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A: Given, The number of ants die in each day (c)=36 The initial number of ants(P) =400 Let P be the…

Q: y" + y" = 0

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Q: Find a differential equation whose general solution is y = c₁est + c₂e-2¹. 5t = 0

A: I have given the answer in the next step. Hope you understand that

Q: Which are the differential equations and initial conditions?

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Q: What are the steps to solve first and second ordinary differential equations

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Q: (음 +) ( m)-" dy +2x d.r +2ry) 2e %3D dr

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Q: у''-24'-34 =4x-5+6 хечк

A: (.). Given differential equation is,         (.) Standard form of general solution is given by,…

Q: Create a non-exact differential equations and solve for its test for exactness and show what case…

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Q: e an example of a differential equation using a combination of real and equal roots and power series…

A: a) Real and distinct roots: Eg: 1 d2ydx2 + 3 dydx +2=0 Auxiliary Equation: m2+3m+2=0 m=2,1 y(t)=C1…

Q: + 2ry =2e- %3D

A: The question isn't complete. Please resubmit the question with correct question. It is solved for…

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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.