QI/ Find the general solution of x /1+ y2 dx = (2- 3x2)dy Q1/ Find the general solution of x 1+ y2 dx (2-3x2)dy Q2/ Find the homogeneour Ond udar D E. V- 6y + 8y = 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: (A) If y = 5x x² - 4 dy dx dy dx dy dx dy then = dx −5x2 — 20 (x² - 4)² 5x2 – 20 (x²-4)² −5x2 +20…

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Q: What is the general solution of xy(xy³ – 1)dx + x²(1+xy)dy=0? A 2x°y³ -3x²= Cx² 4x³y? +3x?= Cy ©…

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Q: From (1) (Y + x*y +2x2) dx +(x + 4×y" + ® y³) dy = 0 - ydx + xydx + 2x²dx + xdy + 4xy"dy +oyy =(Y.dx…

A: We will find out the required solution.

Q: Find the general solution of x(x + 3)dy = 2dy + √(9- y²)(12x + 9 + 4x²) dx.

A: We will separate variables and then will integrate it to find general solution of given differential…

Q: Find the general solution of the D.E. (y^2- 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

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

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Q: Find the general solution of the D.E (y^2 – 2xy + 6x)dx – (x^2 – 2xy + 2)dy = 0 Show your solutions…

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Q: d²y 2) Obtain a particular solution for d*y dx+ + + y = x³ + 2x +1 dx2

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Q: General solution for xy dx + (2x2 + 3y2 - 20) dy = 0

A: General solution for xy dx + (2x2 + 3y2 - 20) dy = 0

Q: Find the general solution of the D.E. (y^2 - 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

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Q: (3) (2x – 3y – 2)dx + (6(2x – 3y) – 2)dy = 0. - - %3D

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Q: Find d²y[dx². 1. y = x* - 7 2. y = x + 9 3. y = 2x4 – 5x 4. y = 5x3 + 4x 5. y = 4x2 – 5x + 7 6. y =…

A: The expression d2ydx2 denotes the second derivative of y with respect to x. A polynomial function is…

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

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Q: Solve the DE xy(y² + 1)dx + (x²y² - 2) dy; y(1). = 1 O x^2 (y^2 - 1) = 2 - 4ln(y) O x^2 (y^2 + 1) =…

A: Here we have to solve the differential equation.

Q: 1.J347x2+12x .s 3x2+8x-12 dx

A: 1). Given: I=∫3x2+8x-12x3+7x2+12xdx We know that; ∫1ax+bdx=1alnax+b+C   Note: As per Bartleby…

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

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Q: Please solve this question Using *Homogenous method step by step in detail dy d³y + 3 d²/+3dx + y =…

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Q: 2 d² 2 + ( x x - y)² - 3y² = 0 dy dx • Solve x²yd²y

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Q: Solve for the general solution * (4xy+3y – x) dx + x (x + 2y) dy = 0 x' (4xy² + 4y – x) = c x²…

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

A: SOLUTION-

Q: L do IP 주 (x-sy)(2ty-2) +3t(y+x). (2 tx+5) (2ty-2) + 9t2 x (0) = 0.2 (2txts) (+3x)-3t (2²_3y)…

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Q: 7. (x+2yXdx- dy) = dx + dy. %3D

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

A: Answer and explanation is given below...

Q: |(r +x² +x+1)(3x* +4x° + 6x² + 12x + 1) dx (x3

A: Use the substitution method and simplify the integration first then integrate.