solve the differential equation. Indicate the ty re of difH. equation . C2xe sin g + ay tan a) dx t (x2e° sin y t x²e cosy t a ln I sec x* +a cot y) oly = 0

Q: - a. Find the derivative of 3y – 2xy² = sin x + cot y b. Find the derivative of 2y x(3³) – In(²/²) =…

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Q: Solve the İVP. ty't 3g= Sint +. y(2) = 1

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Q: 6. 3+(e*+3) sin x y tan(x³)-x

A: Solve by differentiation

Q: Solving for the dy/dx of the function below lea 5 y = 1- sin?

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Q: y = √√²+csc²(πx) 2 COS os(3 cos-¹(x)) - a X

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Q: dy from the equation vx + y = 1 + x'y² dx Evaluate when x =1

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Q: Determine whether the given equation is exact. If it is exact, solve. (2xy-secx) dx + (x²+2y) dy=0

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Q: 2. Evaluate J dx (cos³x sin³x)

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Q: Find dy/dx. 1.y = 5ain a %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the differential dy of the given function. y = 3x − sin2x

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Q: I'Y (x) dx (x- 1)A =1+1+?. WINC

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Q: Locate the bifurcation values of t for the family and draw phase lines. Describe the bifurcation as…

A: Derivative of the function f(y) is the measure of how fast the function is changing with respect to…

Q: H.W. Solue D.E. (tanx)y = y' See"'x %3D x P

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Q: Find dy/dx by implicit differentiation. 3 cos (9r) sin (2y) = 8 dy/dx =

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Q: 1. Solve for y of the Separable D.E. sinx dx +y dy = 0

A: To solve the given differential equation for y.

Q: 5. y = sin* x + cos* x

A: y= sin4x + cos4xdifferentiating w.r.t. x;dydx=ddx(sin4x) +ddx(cos4x)     =4 sin4-1x ddx(sinx)…

Q: y = In [e x (x° +2) (x³ + 8x)] d [In [e 6x (x5 + 2) (xS + 8x)]] =] dx

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Q: Find the differential of the function. z = e-4x cos(3πt) dz Dax + ([ dt

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Q: I 1 y sin(x?)dx dy. 0. y2

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Q: Solve for the exact solutions in the interval [0, 27). If the equation has no solutions, respond…

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Q: y = tanh- (x) + sech -1 /1+x2 %3D

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Q: Find the differential of each function.

A: (a) Differentiating with respect to t, we get

Q: tanh x dx O sech?x +c O sinh x +1n(x)+c ]In(cosh x) +C

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Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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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.