Solve the initial value problem y' + te=e", y(0) = 0.

Q: Solve the differential equation f -e = 2ey by separation of variables.

A: In this question, concept of separation of variables is used. Seperation of Variables The approach…

Q: Solve 2y'' - 5y' - 25y = 0, y(0) = 0, y’(0) = = y(t) = - 37.5

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Q: Find an energy function for the differential equation y"=-y3

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Q: y = (x + y – 1)².

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Q: Find the solution to the equation y' - y = x2y2

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Q: Solve y" + (y')² = 0.

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Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

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Q: 2) Solve the equation y' = Y 4x²y + x

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Q: + ¹² = 4t, where y'(1) = 1 and y(1)=2. 4) Solve y" +

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Q: 2yy" = 1 + (y')² 2

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Q: Solve the equation y" + 25y = 75, y(0) = 0, y' (0) = 1.

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Q: y = In (x+ v5² +1) 3. Solve the y'" if x = 0.5 using step size of 0.1

A: We approximate the second order derivative using second order central difference approximation.!

Q: 4) Solve (xe + ye" )dx+(xe" +e' )dy = 0

A: The differential equation is xe-y+ye-ydx+xe-y+eydy=0 Write it as: e-yx+ydx+x+e2ydy=0x+ydx+x+e2ydy=0…

Q: Solve y' = (y − 1)(y + 1) for y(0) = 3.

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Q: Equation in (a) becomes the non-homogenous equation, y'' − 2y' +y = e^2x . Solve the particular…

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Q: Solve the Bernoulli equation   y'-2.8y=-0.28y^2

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Q: reduce to linear form and solve the following equation y'+(1/2x)y=x/(y^3)  y(1)=2

A: The given differential equation is: y'+12xy=xy3  …1,   y1=2 This is Bernoulli's equation,so (1) can…

Q: Solve y"" + 3y" + 2y' = 0; y(0) = 5, y'(0) = 2, y" (0) = −3.

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Q: Solve the equation y" + 4y = 16, y(0) = 9, y'(0) = -5.

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Q: Solve x³y"+6x²y"+4xy' = 0.

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