Solve the following differential equation 16(x+1)*Y ' +104(x+1)* 4 d*y +96(x+1) 96(x+1)³ d°y +8(x+1)+y=x² +4x +3. dx dy dx dx?

Q: dy/dp= − (4/5) (y/p+9) Solve this differential equation if y = 8  when p = $23.

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Q: Solve differential equation dy -(x²+y) x+siny

A: We have given a differential equation , dydx = -x2 + yx + siny This is exact differential equation.…

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Q: + ¹² = 4t, where y'(1) = 1 and y(1)=2. 4) Solve y" +

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Q: dx - x = (-²/cost) x³ dt 2t 2

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Q: dy solve differential equation x + 2y = x²-x+1 dx

A: The given differential equation is a first-order linear differential equation. It is in the standard…

Q: (x²+y)dx + dy 0

A: This linear differential equation

Q: dy Solve x - 4y = x°e*. dx

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Q: Solve by using Homogenous differential equation method: 3- dy dx = 3y - x + tan(14)

A: y=xsin−1(Cx31​)Explanation:

Q: O Solve the differential equation by method of undermined coefficients d'y d'y 6dy =2e* dx' dx? dx

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Q: Solve the exact differential equation (x* + y)dx +(3xy +1)dy = 0

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Q: d’y (b) dx + y =: dx 1+x

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Q: (Siny) (dy/dx) – 2Cosy. Cosx + Cosx = 0  find type of differential equation and get the general…

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Q: Which one of the following is the Exact differential equation ? 1 (x2 +3xy)dy + (y³ +a²)dx = 0 3 (x2…

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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.