Using separation of variables, solve the differential equation, (8 + z12) dy dz y Use C to represent the arbitrary constant.

Q: Solve (y2 + xy) dx - x2 dy = 0.

A: We have to find out the solution of the given differential equation

Q: Solve DE (x2-2xy)dy=(y2-2xy)dx

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Q: y (3x² √ + 1 ) dx = (-) dy solve exact equation

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve (e-e-ye-*) dx + e¯ªdy = 0 Write the solution explicitly if possible.

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Q: ay (2х-10у), +y = 0 dx Solve

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Q: Algebra Question

A: Given p =  the stove is hot q  =  it is tuesday

Q: Solve = (x²+6)(y-7), y(0) = 2. dy dx

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Q: Solve the first order equation (3r²y + 2ry)dz + (z³ + x² + 2y)dy = 0.

A: In the given question, the concept of the differential equation is applied. Differential Equation A…

Q: ay +1= e**y Solve Y dx

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Q: Solve the differential equation: Use Linear Homogeneous (D5-1)y=0

A: Given D5-1y=0 Auxiliary equation is m5-1=0 So m=1 multiple of 5.

Q: Solvex =x-Y dy dx Write the solution explicitly if possible.

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Q: colve dx+. y 2х y²-3x² -dy=0 y?

A: Given 2xy3dx+y2-3x2y2dy=0Need to solve

Q: Using integrating factor, solve  dy/dx - 3y = 6

A: To find the solution of the differential equation.

Q: dx + 3t?x = x?t et3 solve by Bernoulli's dt Equation

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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.