Can we solve following differential equation by separable variable method dy y = eV+sinx secx %3D dx

Q: 3x4-4 cos x = -6

A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

Q: find the general solution or particular solution. (y^2 - 2xy + 6x) dx - (x^2 - 2xy + 2) dy = 0

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Q: Calculate dy/dx. No need to expand answer. y=7x^2-9x+17/2x+4 dy/dx=

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Q: Identify the first order DE and show the solution for (x-x^3ye^-2y)dy-dx=0

A: Given the differential equation

Q: dy Solve for the value of C in the equation: (1-2x)dx when y(0) - 1 3y3 3

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Q: 3x dy dx solve +6 + 13y = 8e" sin2x - dx

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Q: Find the solution of the equation y^' = (1+y) sec ⁡x + tan⁡ x. and, Solve the equation x dy - y dx…

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Q: Use the variation of parameters to solve the following equation: d^2y/dx^2- 3 (dy/dx)+2y=cos⁡(e^-x)

A: I am attaching image so that you understand each and every step.

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

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Q: Solve dy/dx =( y+x-2) /(y-x-4) Equation s reducible to homogenous form

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Q: Find y' if y= 8x y D

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Q: Solve the given equation by separation of variables. dN/dt + N = Nte^t+4

A: The objective of the question is to solve the given differential equation by using the method of…

Q: Bernoulli's Equation Solve (dy/dx) - (y/x) = y2e^(x2) %3D

A: The Bernouilli ODE is in the form ofy'+p(x)y=q(x)ynAnd the solution is obtained by…

Q: Solve the DE by eliminating the arbitrary constant of x sin y + (x^2)y = C

A: Given that the expression xsiny+x2y=C. Differentiate with respect to x.…

Q: y = 2" In (cot (Tx))

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Q: d y' (-9 csc 3x cot 3x – 9 csc 3x) dx

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Q: • Solved x-4 y2

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: FIND THE GENERAL SOLUTION ye^2x dx = (4+e^2x)dy

A: Let's find.

Q: d'y -+42=sin 2x 3 dx dx

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Q: dy/dt + 2y = e^(4t). Using the guessing method because 2 is constant. I need help solving this…

A: Solution of the first order differential equations

Q: Solve the initial value problem. dy 6 =x (y-5), y(0) = 8 dx

A: The  given differential equation is We have to solve the given differential equation(1).Now,from(1),…

Q: Please use Differential equation or intergral equation to solve thanks

A: written solution provided.Explanation:Step 1:Step 2: Step 3: Step 4:

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.