Classify each differential equation as an ordinary differential equation (ODE) or a partial differential equation (PDE), give the order, and indicate the independent and dependent variables. If the equation is an ODE, indicate whether the equation is linear or nonlinear. d.x et = 4t – 2 dt ODE or PDE: Order: Independent variable(s): Dependent variable: Linear or nonlinear: ди 2 du (b) dy ODE or PDE: Order: Independent variable(s): Dependent variable: Linear or nonlinear: 1 dy a dr3 (c) - sin(x)y = x?y ODE or PDE: Order: Independent variable(s): Dependent variable: Linear or nonlinear:

Q: x -Jx-15 = 3 Salvethe equation

A: We have to solve the equation                                              x-x-15=3

Q: = 336178 1 + I 335,17

A:

Q: A cup of hot coffee initially at 95°C cools to 80°C in 6 min while sitting in a room of temperature…

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Q: 1- 3t - 2 t+1 - dt

A:

Q: Pr[A U B] = 0.90, Pr[A] = 0.70 and Pr[B|A] = 0.40. Find Pr[B].

A: Given data, P(A U B)=0.90 P(A)=0.70 P(B|A)=0.40 P(B)=?

Q: erty' (t) = -8

A:

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

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Q: Next, simplify. - 3t dt = dx

A:

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.