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Solve for d (complex solution)
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Solve for d
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Solve for x (complex solution)
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Solve for x
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ydx+x^{2}y^{-1}\left(10ydx-6xdy\right)=0
Combine 3ydx and -2xdy to get ydx.
ydx+x^{2}y^{-1}\times 4ydx=0
Combine 10ydx and -6xdy to get 4ydx.
ydx+x^{3}y^{-1}\times 4yd=0
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
4\times \frac{1}{y}dyx^{3}+dxy=0
Reorder the terms.
4\times 1dyx^{3}+dxyy=0
Multiply both sides of the equation by y.
4\times 1dyx^{3}+dxy^{2}=0
Multiply y and y to get y^{2}.
4dyx^{3}+dxy^{2}=0
Multiply 4 and 1 to get 4.
\left(4yx^{3}+xy^{2}\right)d=0
Combine all terms containing d.
\left(xy^{2}+4yx^{3}\right)d=0
The equation is in standard form.
d=0
Divide 0 by 4yx^{3}+xy^{2}.
ydx+x^{2}y^{-1}\left(10ydx-6xdy\right)=0
Combine 3ydx and -2xdy to get ydx.
ydx+x^{2}y^{-1}\times 4ydx=0
Combine 10ydx and -6xdy to get 4ydx.
ydx+x^{3}y^{-1}\times 4yd=0
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
4\times \frac{1}{y}dyx^{3}+dxy=0
Reorder the terms.
4\times 1dyx^{3}+dxyy=0
Multiply both sides of the equation by y.
4\times 1dyx^{3}+dxy^{2}=0
Multiply y and y to get y^{2}.
4dyx^{3}+dxy^{2}=0
Multiply 4 and 1 to get 4.
\left(4yx^{3}+xy^{2}\right)d=0
Combine all terms containing d.
\left(xy^{2}+4yx^{3}\right)d=0
The equation is in standard form.
d=0
Divide 0 by 4yx^{3}+xy^{2}.