Soru 1: d²y dy x² +1 xE (0,+0) Defined in the range 6+9y= e³ differential equation dx? c) Find a particular solution that satisfies the right-hand side of the above differential equation and write the general solution of the dx differential equation in question.

Q: Solve by applying "Differential Equation using Substitution Suggested by the Equation"…

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Q: Solve the differential equation (D+ + 5D² + 4) y = sin x + cos 2x.

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Q: solution to this differential equation: (2x+y-4)dx + (x-3y+12)dy = 0

A: Given differential equation is: 2x+y-4dx+x-3y+12dy=0 We can rewrite this equation as follows:…

Q: Solve the differential equation dr + x² + y², dy = 0. r² + y? y?

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Q: Solve the differential equation given below 3y2(dy/dx)+y3=e-x

A: We have to solve given differential equation:

Q: Find the general solution of the linear differential equation: dy dx + (5x + 1)y=e-52.

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Q: Direction: Find the particular solution of differential equation and use typewritten.…

A: The given differential equation is: x3+xy2-ydx+y3+x2y+xdy=0. We have to find the particular solution…

Q: 2. Solve the differential equation y" + 3y csc V3x

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Q: (4r + 5)2 2- + tanzy= dr COSI

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Q: Solve the Differential Equations by Inspection (40xy-21y*)dx– (35xy³-20x²+20x?y-14xy*)dy=D0

A: The given differential equation is: 40xy-21y4dx-35xy3-20x2+20x2y-14xy4dy=0   …* Here  M=40xy-21y4…

Q: a) Solve differential equation dx + 2 dy x³ cos y %| - y

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Q: nd the solution of the differential equation = Z 3 + sin(z) with i dz

A: Given: dfdz=z-23+sin(z)f(0)=2

Q: ly- cos? x) dx+ cos xdy = 0

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Q: 3ysinxdx/dy-2xycosx=0, Find exact differential equations

A: Given  3ysinxdx/dy-2xycosx=0

Q: (メyーx+24 -2) dx- (x+ 4x) 0

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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.