Kindly answer the items 2 and 3 - differential equation questions. On the second image, you can see the choices. Show your complete solution.

Q: Solve for y 1y -8 > -6

A: We have to solve  1y - 8 > - 6 Then ,  y - 8 > - 6

Q: Solve 3x2 = -12x- 15. Ox=-4 + 2i Ox= -4 + i Ox=-2 + 2/ Ox= -2 ±/

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Q: 2x-5=x+7. Where do I begin when solving this analytically?

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Q: completely full. The water storage tank is a large cylinder which is 20 metres high and has a radius…

A: (3)  As given water storage tank is filling at a rate of 600π6+4t litres a day for t≥0. Let the…

Q: Which of the following functions is a solution of the exact equation? (6x + 4y)dx + 4xdy= 0.

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Q: Solve (e-e-ye-*) dx + e¯ªdy = 0 Write the solution explicitly if possible.

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Q: Solve step by step in digital format Solve for Ricatti dy dx = -2-y + y² answer y =,2 + 1 ce-3x_…

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Q: 5 4.

A: 4.

Q: If 3/5+ V125 = 17.88, then what will be the value of V80 +6/5?

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Q: Solving liker diff evential eauaTions dy +y = Xe %3D

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Q: - 4y'+5y=0

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Q: working

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Q: y = C₁cos(2x) + C₂sin(2x)

A: The eliminate the constants from the following equation.y=C1 cos2x+C2 sin2x

Q: equation

A: We have to write the linear equation of the given conditions

Q: a (+ 2x + 3)dx 3.

A: Consider the given integration as, ∫x23+2x+3dx

Q: Find a particular solution to the given​ higher-order equation.   y′′′−4y′′+y′+6y=-30t^2+8t+37

A: We have to find a particular solution to the given​ higher-order equation. y′′′ − 4y′′ + y′ + 6y =…

Q: Solve the equation e*+4 = e* + 1 x =

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Q: Solvex =x-Y dy dx Write the solution explicitly if possible.

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Q: PROBLEM NUMBER 6 Solve 3y²+x=0, where y=5, when x = 0.

A: We shall use separation of variable then direct integration to solve IVP

Q: Solve for t.  4e0.01t - 3e0.04t = 0

A: To solve the equation 4e0.01t-3e0.04t=0 for t, first add 3e0.04t on both sides of the equation then…

Q: How do I find the general solution to this separable equation?

A: Topic - differential Equation We will solve this equation by variable separation method

Q: Find a particular solution to y' – 2y + y = -13.5e". Yp

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Q: sistance R (ohms) and the current I (amperes) by the equation P = R1². se differentials to determine…

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: 70. x +y = 4 3D4 . %3D

A: Explanation and solutions is given below....

Q: Step 1: Choose one equation to begin. (Suggestion: Choose the equation that has a variable already…

A: Suppose one equation is: x+2y=3

Q: Show that A and B commutes: * 2/3 -1/31 1/5 7/15 -1/5 1/15. 1 1 0. 21 1B =|-3/5 2/5 2 4. 3 %3D -1 ]

A: Given A=112231-124, B=230-13-352515715-15115

Q: Solve for t. 4 - 1 - 1 =D4 - 3 -3

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Q: Which table is a probability distribution table? X 1 P 0.4 X 1 P 0.4 X 1 P-0.2 X 1 P 0.2 2 0.15 2…

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Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…

Q: Determine the value of k that will make y = 2cos(2x) a solution to ky - y" = y. Ok = 5 Ok=0 Ok = -3…

A: Step 1:​y=2cos(2x) is a solution of ky−y′′=y.​Step…

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.