Find the general solution to the following Bernoulli Equation: dy/dt - 3 * sqrt(t) * y = sqrt( t * y)  dy/dt + t * y = t * y^(3)

Q: differenetiate parametrically to find dy/dx in terms of t:  x=1/t+1 , y=2t^2-4

A: please use according to form i did solved two equation because your question is not write clear that…

Q: (xy^2- y^2+x-1)dx + (x^2y-2xy + x ^2+2y-2x+2)dy = 0 Start by using seperable equations.

A: given a differential equation,here need to solve this differential equation by seperation of the…

Q: X dy + dx dy Y dx 2 - 1 sin(2x) = r arcsin(r)y5 (1 - cos(2x)) y³ y = (1

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Draw the bifurcation diagram for dy/dt = y(a-y)

A: We can use concept of critical points in order to solve the given problem.

Q: find dy y = sec-1 (e-x)

A: According to the question, we have to find the derivative of the expression y=sec-1e-x. To…

Q: Find general solution to Cauchy-Euler equation: (t^2)y''-2ty'-3y=t^2

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Q: (2t – 3)·e -t²+3t dt 3 2/Inx dx . X (2у-3)12

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Q: solve y dx – x dy + (1+x²) cx +x²siny dy = 0

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Q: a) Find dy if y² + x²y² = 1+x^y use implicit differentiation b) If x² + y² = 6. Find y' in term OF…

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Q: dy -: y = 6x² – 4x, dt dx = 7,x = -2 dt (5) Find -

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Q: Find the equation of a curve if d²y 4 = dx² (2x - 1)² the curve passes through (5, 2 ln3), and the…

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Q: Dy/dt = 2y(5-y) is the equation autonomous?

A: An autonomous equation is a differential equation in which the independent variable does not appear…

Q: Зх- 1 | (*-9) dt Use Leibniz's rule to find for y = dx

A: Leibniz's Rule:ddx∫a(x)b(x)f(x,t)dt = f(x,b(x))·db(x)dx +  f(x,a(x))·da(x)dx - ∫a(x)b(x)∂f(x,t)∂xdt…