Classify each of the following Differential equation and Complete the table. Solution: Sr. Differential Ordinary Linear Order Degree Dependent Independent Equation or or variable variable Partial Non- | Linear 1 y" + yy' = 3 2 y' = cosy + y – x du dw + w2 ax 3 dz y" - x²y' = sinx d*y d': Cosx-h2y dx 5 dy d'z z. e dx dx2 6

Q: dy For the linear differential equation: dx 3x3 + sinx + 8y, calculate the integration factor.

A: we are given a linear differential equation dydx=3x3+sinx+8y we have to find the integrating factor…

Q: Find dy/dx implicitly for the equation sin y = x. Then find the largest interval of the form −a <…

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Q: B(X-1)casy dy = 2x siny dx dif. den kleminin genel %3D Gôzümünü bulunua.

A: Given differential equation is: x-1cosydy=2xsinydx Rearrange the terms so that similar variables are…

Q: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

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Q: iff. equations : y' = 10x y dx - x dy = 0, y" + ky = 0, y'+ 2y = e-2*

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Q: differential eqation, find general solution for dy/dt = −3y + 4 cos 2t   thank you.

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Q: Find dx dy and. dt dt dy. dx x = 6tet, y = 2t + sin(t)

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Q: Integrating Factor by Inspection: (6) 2x*dy = y(3x* + y²)dx = 0 .5

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Q: Use implicit differentiation to find dy/dx and d?y/dx?. x? + y? = 9 dy O A. x a?y y' dx2 x² + y? y3…

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Q: dy The standard form of the differential equation cosx =1-y sinx is dx Select one: O a. +y sinx =…

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Q: 3. d'y 8 dy +y = sin x is The degree of the differential equation: da? da

A: The degree of the differential equation is the highest power of highest derivatve , so the degree of…

Q: dy - x X, y(0) = -4 dx Need Help? Watch It

A: using variable separable and then integrate both side...

Q: Find the differential of the function. H = x5y4 + y9z³ dH = Jdx + 1dy + 1) dz

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Q: dy/dx + 2xy + xy = 0 Ans. 1/y3 = -;+ 1 + ce3x? 2

A: The given differential equation is  dy/dx + 2xy +xy4=0

Q: Suppose y = (x² + 5)³. (a) Find the differential: dy dx. (b) Compute the differential when x dx 2…

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Q: Show that y1 u and y2 = v are solutions of the equation (uv' – vư)y" + (vu" – uv")y/ + (u'v" –…

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Q: y Given: xe² + In(x - y) = . Find dy/dx. dy 2x(x-y)-x¹+x -w) (20

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Q: Determine the general solution of 6d²y dx² +5 dy dx - 4y = 0. Find the particular dy solution when y…

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Q: x +y-y° =5

A: The given equation is x2+y-y3=5 We have to find dydx=?

Q: ind and classify the equilibria for y'= (y- 1)(y – 2)y. The initial

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Q: (x - y) (4x + y) dx + x(5x - y) dy = 0.

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Q: d²x = y² + 1 а. y dy2 y (* + - ** + 1 dx, 2 d²x x² + 1 dy² d's d²s С. dy3 dx? () = x² + 1 dp. d. y…

A: An ordinary differential equation is an equation involving only one independent variable

Q: Find dy/dx given the equation xy+ y = 2.

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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.