dy 4- dx 2r

Q: syidr + [2yłn () + 3siny]dy: 6. x²+3x 3y?dx 5x ;when x = 1, y = 0 x+3,

A: Given, Differential Equation:  3y2x2+3xdx+2y ln5xx+3+3 sin ydy=0when, x=1 and y=0 To find: The…

Q: - y' = y – xy³e-2x

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Q: 10. 2ste tds +(s²e-t - t)dt = 0

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Q: y = Ce2*cos3x + C2e2xsin3x

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Q: (3+ 5x²y3 + 4xy + 3y³)dx + xy²(3 + 4xy + 3x²)dy = 0 %3D

A: The given equation is 3+5x2y3+4xy4+3y3dx+xy23+4xy+3x2dy=0 the equation is of the type Mdx+Ndy=0…

Q: • / = Ity

A: y'=x-yx+y It is a homogeneous differential equation. Put, y=vx⇒y'=v+x·dvdx Therefore,…

Q: Solve the following differential equations: 1. y(lnx - In y) dx = (x ln x - x ln y - y) dy

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Q: a. y = C,e=x + Cze-2x + x

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Q: (2+x²)y" + xy + 4x²y <=0 Compute the recursion formula for the coefficients of the power series…

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Q: Problem 3. (1D Heat Equation) Solve the differential equation for x = [0, 1] and t = [0, ∞]. € Ә U…

A: Using separation of variables.

Q: ly" +3y'= ex %3D

A: We have to solve given problem with the help of variation of parameter:

Q: g. A thermometer reading 50°C is taken outside where the temperature is 30°C. Five minute later the…

A: Consider temperature of thermometer after 't' minutes is given by T(t), then from the given…

Q: dy 4. x-+y = x²y² In x dx

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Q: (5y – 6x)dx + rdy = 0

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Q: Which of the following best represents the particular solution of the differential equation: y" –…

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Q: dy 1 1. dx +3y= = e*y*

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Q: Given the differential equation: dy dx + (1 + y²) = 0 y(0) = 0 a. Show that the differential…

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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.