Solve y'= 3y.x² 3 x³ + 2y4

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

Q: y = Arctan ( 2+x 1-2x

A: We have to find derivative

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: Solve x' = 3xt²-3t², x (0) = 2.

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Q: y = 3t 1+t³ X= 3t 31² 1+t²³

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Q: Solve 2ayy' 4x² + 3y² 42

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Q: for

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Q: y = (x' - 2x2 +3) (7x² – 4x)

A:

Q: solve y′′′′+ 3y′′−4y = t^2

A: Given differential equation is yIV+3y''−4y=t2. We have to find the solution of the given…

Q: 4= Find y 13x+(2x3-x'

A: To find the derivatives

Q: y' = 3x2 - 12x - 79

A: Consider the provided derivative, y'=3x2-12x-79 Find the expression of yx. We can write as,…

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: Solve the equation x^2+y^2=4z+3 for x, y, z EZ

A: Given:   x2+y2=4z+3    x , y , z ∈ Z

Q: Solve yuyx - Ux=4/x

A:

Q: Solve  y'' - 81y = 0

A: You can solve by finding auxiliary equation

Q: solve y′′+2y′+y=5t^2 using the Method of Undetermined Coefficients

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Q: 3. Solve -4 -2 X' = 3 X+ -Se -11 -2

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Q: Solve y" + 4y – 2y = 2x² – 3x + 6..

A: The given differential equation is y''+4y'-2y=2x2-3x+6. The auxiliary equation of the corresponding…

Q: Solve xy'(2y - 1) = y(1 - x)

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Q: Solve (2x^2y +y)dx+xdy =0

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

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Q: y' = 2x + 14

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Q: Solve for z. (2-i)z+8z^2=0

A: Given equation is, (2-i)z+8z2=0