3. Find an explicit solution of the given initial-value problem. dy y² sin x, y( 2) - dx

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A: 1. The given differential equation is a separable differential equation, so find the solution of it…

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A: We can solve as follows

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A: Given

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A:

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A: Given. dy/dx = ye9x  => 1/ydy = e9xdx

Q: dy 2 %3D

A:

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A: To solve the given initial value problems

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Q: 3. Find an explicit solution of the given initial-value problem. dx 4(x + 1), x(7/4) = 1 dt 2 dy y…

A: By bartleby policy first question onpy unless asked otherwise.

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

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A: As per the company policy i can answer only first question for you,more than that leads me towards…

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A: Here in this question, we have to find out the solution to the given differential equation.

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A: An equation which involves the derivative or differential coefficient is called differential…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.