dy 4. x dx y + Vx2 – y? -

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

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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: dy 4. x dr -y + Væ² – y?

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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: 2. y Inxlny dx + dy = 0

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Q: g. A thermometer reading 50°C is taken outside where the temperature is 30°C. Five minute later the…

A: Consider temperature of thermometer after 't' minutes is given by T(t), then from the given…

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: (10 – 6y +e 3) dr 2dy = 0 %3D

A: First reduce the given differential equation into linear differential equation and then solve as in…

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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