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: d²y Find С. dx? 1. y= sin 2x +cos² x sin x 2. у- - y= 1-cosx

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

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Q: dw Use the Chain Rule to find where w= cos 12x sin 4y, x=5, and y =t". dt dw dt (Type an expression…

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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: Determine whether the equation is exact. If it is, then solve it. (tan y – 2)dx + (xsec²y+ ÷)dy = 0.…

A: A differential equation Mx,ydx+Nx,ydy=0 is said to be exact differential equation, if ∂M∂y=∂N∂x. To…

Q: Solve the dfferential equiation dy-pne™ + cosn

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Q: 2.x²y"+xy'–3y= 0,x>0

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Q: f(x) = -12-21x + 18x^2 - 2.75x^3 what method will give a root of the function equal to - 0.287425 in…

A: We will use a numerical method to determine what will be the value of root of the given function in…

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: 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: dy ,2,,2 1. х + 3y = x?y? dx

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Q: Find d²y/dx² of Y= x cos (5x)– sin? x

A: Given: y=xcos5x-sin2x

Q: Solve the DE. (1 + y²) dx + (1+x²) dy = 0 O tan x + tan y = C e + ey = C O lnx + lny = In C arctan x…

A: Topic = Differential equation

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

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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: dy dx 2. Determine both dx implicitly for the equation 3x2 – x² tan(y³ + x) = 6x + 5y. and dy dy а.…

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Q: dy y cos x+sin y +y Solve the following 1. dx 0. %D sin x+x cos y+x differntail equation

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Q: (3 sin y – 5x)dx + 2x² cot y dy = 0

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Q: dx y2. + 2xy = sin y ,x(1) = 1 %3D dy

A: Solving the first order differential equation

Q: dy 1. Solve the equation x2. +x y= 1. dx

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Q: y" - 4y' = t + 3 cos (t)te %3D

A: Given The given differential equation is y'''-4y'=t+3cost+e-2t.

Q: 8. y = Jcos x – 4 sin(1 + x3

A: To give what is asked. To find dydx. To show the solution. y=cos x-4 sin1+x13

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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Q: (x² + y sin(xy))dx + x sin(ry)dy = 0. %3D

A: Given equation is exact. Answer is x3 /3 -cos(xy) =c

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.