Q/Solve the differential equation by seperable 1) dy=(y + 9x) dx 2) dx 3) dx - 1 1+ y² dy = 0 y + 9x = u 1 - y² − 6y + 13 dy = 0

Q: Q3/ Solve the following equations: 1- х(2у — 3)dx + (x2 + 1)dy %3D0 dy 2- dx 4y x (у-3) 3. y' = 2xy…

A: Note that there are so many ways to write the final answer of the differential equation.

Q: Find the solution to the differential equation: (2y - 2x²y + x² - 1)dy + 2 dx = 0 Please Answer…

A: see below the calculation

Q: Determine the solutions of this differential equation where steps are thorough and explained 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: Solve y (e* + Inx) dx + (3 – y) dy = 0

A: The given ordinary differential equation can be written as:

Q: a) dr. A<1

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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: = 11. Solve x²yd²y + x dx² .2 dy dx - y)²³-3y² = 0.

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Q: Check whether the given first order linear diff equation is homogenous or exact or separable or none…

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Q: ( 3x²y + e' )dx + ( x³ + xe' - 2y)dy=0

A: We will first check whether given equation is exact or not ,then we find general solution…

Q: 3. (x - 1)dy - x?ydu = 0 4. (x2 - y2)dx + xydy = 0 5. (x2 - y)dx - (xdy – ydy) = 0

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: dy Q2) Solve x- 2y = x³ cotan 2x dx

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Q: Solve the bernoulli equation dx/dy+(2/x)y=-x^2y^2cos(x)

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Q: Use the exact techniques to determine the solution to (2y? + 2y + 4x2)dr + (2ry + x)dy = 0.

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Q: Bernoulli Equation (17) y'+ () y = x³y³ (18) y' + 3x²y = 4x²y² (19) (x²yª – 1)dx + x³y³dy = 0 (20)…

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Q: Solve 2(ax+Y) dx + (3x +Y) dy =0 ,y) =2

A: SOLUTION-

Q: - 4. 3y(x² − 1)dx + (x³ + 8y − 3x)dy = 0; when x = 0, y = 1

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Q: Solve dy/dx + 2y = 4, y(0) = 3 by one of the usual methods. Solve same the problem by Picard’s…

A: Integrating factor method for solving a differtial equation  Consider the differtial equation…

Q: Q9// find the general solution (sec³x + (cotx)y)dx + (Insinx)dy = 0

A: Answer and explanation is given below...

Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…