solve for the differential eq   (8x−10xy+4y^2sin^2 (x) )dx=(2ysin2x+5x^2−4xy)dy

Q: t(dx/dt)=6te^(2t)+x(2t-1) solve using linear equation

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Q: 3. Show the equation (1+ e*y + xye*)dx + (xe* + 2)dy = 0 is exact and solve it.

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Q: Find the general solution of dy/dx=x-4/x^2-5x+6

A: Explanation of the answer is as follows

Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

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Q: 3. (y-x)dx = xy (x dx + y dy)

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Q: Find y' of y = 2xsec2 (x² + 1)

A: Given function is, y=2xsec2x2+1.   It is differentiated as follows: Take the constant out: a·f'=a·f…

Q: Solve the IVP y’=3xy^2

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Q: FIND THE GENERAL SOLUTION ye^2x dx = (4+e^2x)dy

A: Let's find.

Q: Solve dy/dx=2xy/(x^2-y^2)

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Q: Find the solution. dy x+5y=2x?y+ dx

A: We have to solve the given differential equation.

Q: Solve  3(1 + t2)y' = 2ty(y^3 - 1)

A: The given differential equation is: 3(1+t2)y'=2ty(y3-1)...(1)

Q: Solve for dy/dx and d2y/dx2 of : y=(x^2e^-x)- 4e^x

A: The function is y=x2e-x-4ex. Find the value of dydx using product rule as follows.…

Q: Solve (x+2y^2) dy =ydx

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Q: Solve the homogenous equation (y +(x^2 + y^2)^1/2)dx−xdy = 0

A: According to the given information, it is required to solve the given homogeneous differential…

Q: (x^2 + 4)dy = (2x-8xy)dx

A: Answer

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.