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Solve 2X 2Y
2 Y DX X 3Y 3X Dy 0
X 2Y X
Y 2X 2 Y 0
2X Xy 2DX
X 2Y Dy 0
X
2 Y 2 14Y 0
𝑦 𝑦 𝑥2 1 Unice Solution
X2y
2Y
𝑦2𝑑𝑦 𝑥 𝑥𝑑𝑦 − 𝑦𝑑𝑥 EXY
X2y 1 X Y 3 Ln X Y 0
Y 1 2 Y 1 0 1
2Y 2Y 2Y
2
Xy 2Y
Xy
Power Sereix Y 2Xy Y Given C0 1
X
2 XYY 2 1
5X2 5Y2 10X − Y
0
Reduction of Order Y − Y
0 Y1 Cosh X
2X Xy2 DX X2y Dy
0 Non-exact
Reduction Order Differential Equations
14 X
1 Y2 1 2DX Y 1 X2 1 2 Dy
Xaddy 2X
Power Series for 1
X 2
D 2F X
Y Dxdy
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Solve 2X 2Y
2 Y DX X 3Y 3X Dy 0
X 2Y X
Y 2X 2 Y 0
2X Xy 2DX
X 2Y Dy 0
X
2 Y 2 14Y 0
𝑦 𝑦 𝑥2 1 Unice Solution
X2y
2Y
𝑦2𝑑𝑦 𝑥 𝑥𝑑𝑦 − 𝑦𝑑𝑥 EXY
X2y 1 X Y 3 Ln X Y 0
Y 1 2 Y 1 0 1
2Y 2Y 2Y
2
Xy 2Y
Xy
Power Sereix Y 2Xy Y Given C0 1
X
2 XYY 2 1
5X2 5Y2 10X − Y
0
Reduction of Order Y − Y
0 Y1 Cosh X
2X Xy2 DX X2y Dy
0 Non-exact
Reduction Order Differential Equations
14 X
1 Y2 1 2DX Y 1 X2 1 2 Dy
Xaddy 2X
Power Series for 1
X 2
D 2F X
Y Dxdy
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