What is the solution of the following equation: y(t) sin(t – t) dt = t Select one: a. f(t)=t?/3+t®/6_ b. f(t)=t+t³/6 c. f(t)=t+2t³ d. f(t)=texp(-t)

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A: Solution: The objective is to find the general solution of the given differential equation

Q: Step 4 Finally, determine(-3x + 7) and (x + 7) and simplify the result. dx dx 1. du 1 dv + U dx V dx…

A: formulas we use: ddxf+g=dfdx+dgdxddxkx=k; k is a constant.dkdx=0; k is constant.ddx(x)=1.

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A: Hey, since there are two questions posted, we will answer the first question. If you want any…

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A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

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Q: dy B2 (c): Find for dx y = 3 sin-(x²).

A: Use the chain rule of derivative and simplify the result.

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A: using property of definite integration

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A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Drive the following function for :(y) 3(sin(2xy))²

A: We have to find the derivative .

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.