— 4х 7. y = ce* + c2 x e-4x + C2 x e ||

Q: 1. y = c1e-2x + cze²x + cze2x 2. y = c1e* + cze3x

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Q: dy - 2y + 6 Find the solution of the differential equation. - dx 2.x + y + 2 ||

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Q: 4. 16y" – 40y' + 25y = 0 @ y(0) = 3, y'(0) = -? 4

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Q: 2x(y + 1) dx – ydy = 0 when x = 0, y = -2 %3D -

A: Here differential equation is given as 2xy+1dx-ydy=0or2xy+1dx=ydy⇒2xdx=ydyy+1⇒2xdx=dy-dyy+1

Q: (1 – xy)-2dx + [y? + x²(1 – xy)-²]dy = 0 (y – cos?x)dx + cos x dy = 0 + Ri = E, where L, R, and E…

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Q: y(x2 + y? – 1)dx + x(x² + y² + 1)dy = 0 У (2x2 — ху + 1)dx + (х — у)dy %3D 0 x2 + y2 dy 1 dx…

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Q: (16x + 5y)dx + (3x + y)dy = 0 the curve to pass through the point (1, –3)

A: Given information: The differential equation is 16x+5ydx+3x+ydy=0. Calculation: Solve the…

Q: (cos 2y – 3x²y²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0

A: Given differential equation is cos2y-3x2y2dx+cos2y-2xsin2y-2x3ydy=0 Compare this equation by…

Q: sinxsinydx + cosxcosydy = 0 %3D

A: To solve the given differential equation.

Q: Find the solution of the dy Qoec() +y d'ifferential equation.

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Q: xydx – (x² + 3y²)dy = 0 -

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Q: dy 2x = (3y + x)- dx

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Q: 1.3x – xy = c -

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Q: d³u ,d*u 7 dt+ d³u + 12 dt3 d²u 2 +8 dt2 dt5

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Q: x(3ху — 4у3 + 6)dx + (x* — 6х*y* — 1)dy %3D 0, when x %3D 2, y %3D0

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Q: - y = c1x² + c2 e¬* .y = x2 + c1x + c2 e¯* D. y %3D ). у %3D Сте?x соs 3x + сz e2X sin Зx

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