Solve for the value of C in the equation: ay (y + xy)dx = 0 when y(0) = 1. A none of the choices 1 В 2 4 1 E 4

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Q: Solve by separating the variables. 1. = dy 2 dx x(y3+1)* yA * +y- 2 ln|x| = c. Answer. %3D

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

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Q: dy 1. 6x², y(0)=5 || dx dy 2. dx e* +4 e* y(0)= In 5 '

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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A: The given equation is not exact because ∂M∂y≠∂N∂x.

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A: Given dydx=2x3-3y, y(1)=2to find the value of y (1.5) by picards methid upto 3rd approximator.

Q: (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y²)dx y(-1) = 1

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

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A: We separate the variables and then integrate both sides. C=integrating constant

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Q: SOLVE THE EQUATION. SHOW YOUR COMPLETE AND CLEAN SOLUTION. 2 (x – y) dx + dy = 0 O x + In[2 (x – y)]…

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Q: Q2) Solve the D.E xy(x? + 1)dy - (y? + 1)dx = 0 %3D

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Q: (c) Test for exactness and solve the IVP, critically outline the particular solution (x + 5e*y)dx =…

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Q: ƏM Consider the equation (y² – 2x)dx + (2xy+ 1)dy = 0. If f (x, y) : ƏN what is the value of əx' ду…

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Q: The value of C in the equation: dV/dt= -500(t+1)^-2, when V=700 and t=0 is?

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Q: Solve the equation. (+5x) dx+ e*y dy = 0 An implicit solution in the form F(x,.y)% C is =C, where C…

A: To solve: The equation x3+5x3y4dx + ex4y3 dy = 0 .

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Q: Given the equation of y = g(x) satifies dy + (1 – 2x)y = 4x, x > 0, g(1) = 3(e² – 1). dx Solve an…

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