Solve the following DE equation dy/dx=y^2/2x - y/x - 4/x              y(x)=4  Riccati DE Eqaution dy/dx=(x^2+y^2)/2x Hint homogeneous equation

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: Problem #1: Use cylindrical coordinates to find the volume of the solid bounded by the graphs of z -…

A: Given, z=70-x2-y2z=6 We have to calculate the volume of the region E by using the cylindrical co…

Q: Find general solution of: 2x ( y - x^2) dx + dy = 0

A: Topic:- solution of differential equations

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: Equation is homogeneous ? (y²-2xy) dx=(x²-2xy) dy True / False ?

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Q: Solve for the first-order DE: y’+y-y^2(cos2x-sin2x)=0

A: Solution: A first-order Bernoulli ODE has the form of y' + p(x)y =q(x)yn Rewrite the form of…

Q: dy/dx= (6x^3-1)/(2xy-3x), y(1)= -1, x>0 Please show steps clearly, this is a seperable equation…

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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: Question 2 Determine the general solution. x (dy/dx) = 2 - 4x^3. O y=lnx-(1/3) x^2 + c Oy=2…

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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: Solve for C in the solution for dx/dy = xy^3/(2y^4+x^4) ; y(2)=4 Use 2 decimal places

A: Here we have to solve the given differential equation

Q: solve the bernoulli equation dy/dx+y = y^2(sinx+cosx). and show that the answer is y(cosx+Ce^x)=1

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Q: 6. Solve: x dy + y dx = 2xy^2 dx * x^3 y^2 = c O x^3 = cy X^3 y = c O x^3 = c y^2

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Q: x = y+ xe' dx

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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: NON EXACT DE Solve: x(y^3 - x)dy-y(y^3 + x)dx=0

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Q: Find the general solution to this exact equation: y + (2ty-e^(-2y) ) dy/dt = 0

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Q: Solve: y" + y'tanx = (y')²

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Q: Find dy/dx: 2. (6+sec(πx^2))^2 I don't understand how to solve or explain, possibly in a way with…

A: To differentiate the given composite function (using chain rule)

Q: Solve this differenttial equation  (X^2.e^(-y/x) +y^2).dx=xy.dy

A: To find the solution of differential equation

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.