Which of the following equations can be reduced to the homogenuous linear differential equation with constant coefficient? d'y dy 32 dz dz? dz Ob. 23 dz d'y dy 3z2 dz? da Oc d'y d'y dy 372 da Od. 272 dr3 dy dz? de O e d'y 22 dz dy dz2 dr

Q: 7. y - y = 16

A: The objective is to find the general solution .

Q: 2y (y² - x) dy dx

A: We know that for the differential equation  Mdx+Ndy=0 if 1M∂M∂y-∂N∂x=fy then the integrating…

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: 3.) (2xy³ + y4)dx - (2y - y³x)dy=0

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Q: 8. y"-2y-15y=0 y(0)=5, y'(0)=-3

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Q: y" - 2y' - 3y = e8x

A: Given is the differential equation y''-2y'-3y=e8x The objective is to find the solution.

Q: dy ху? dx. dy - 2y³. - x³ + 2xy? = 0 dx

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Q: d²y dy d³y dx + a1' dx² + aoy = 0 dx + az° x³

A: Let y=eλxGiven: The differential equation:a3d3ydx3+a2d2ydx2+a1dydx+a0y=0To show: y is the solution…

Q: CALCULATE USING A HOMOGENOUS EQUATION. GIVE THE GENERAL AND PARTICULAR SOLUTION. SOLVE NUMBER 3 THE…

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Q: y' = ²+y? TY

A: Differential equation

Q: e) xy' + y = 5x

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Q: d'y The degree of the differential equation dx dy dx - 2x +y=0is_ d°x d'x_d²x The order of the…

A: Note that: The order of a differential equation is defined to be that of the highest order…

Q: What is the order of the differential equation M – R()* = (#)' ds dt? dS sin St? dr2 dr

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Q: Solve. 4x²y" +y=0 1. xy" – y' =0 2.

A: differential equations

Q: Find a general solution of the equation: 3x?y" + 2xy' – 2y = 0

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Q: Show that cos x is the integrating factor of the linear differential equation dy/dx= sec x+y tan x

A: Integrating factors are useful for solving ordinary differential equation  that can be expressed in…

Q: 3. Solve the DE: Y'=e2x+ 3y.

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Q: dy 2) x- - 1 = -2e-y 1 = dx

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Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

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Q: 2x + 2xy2 y + 2x²y dy dx ||

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Q: Given the differential equation (ye- sin x) dx –(e+2y) dy =0, what is the value of f'(y)? A 2y - y2…

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Q: 3. (x - 1)dy - x?ydu = 0 4. (x2 - y2)dx + xydy = 0 5. (x2 - y)dx - (xdy – ydy) = 0

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find the differential of the function z=2x'y %3D

A: If z is a function of two variables defined by z=f(x,y) then the differential dz or total…

Q: Separate the equation (1 + x + y + xy)y' =x.

A: First, convert the expression on the left-hand side in product form and then separate the equation…

Q: dy 12. =-2e5x+y | dx

A: Given query is to find solution of the differential equation.

Q: Solve for y. y' = 7x + xy; y = 5 when x= 0 y =

A: We have to solve for y for the given differential equation: y'=7x+xy; y=5 when x=0. Rewriting the…

Q: Verify that the function y = a cosx + b sinx where a,b e R is a solution of the differential…

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Q: 22. (2xy +y) dx + (x² + 2xy + y) dy= 0

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Q: y' + 3y = 8

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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.