Solve dt^2-dt1 / dv^2-dv1

Evaluate

d t^{2} - d t \times \frac{1}{d v ^{2}} - d v \times 1

Multiply the terms

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d t^{2} - \frac{t}{v ^{2}} - d v \times 1

Any expression multiplied by 1 remains the same

d t^{2} - \frac{t}{v ^{2}} - d v

Reduce fractions to a common denominator

\frac{d t ^{2} v ^{2}}{v ^{2}} - \frac{t}{v ^{2}} - \frac{d v \times v ^{2}}{v ^{2}}

Write all numerators above the common denominator

\frac{d t ^{2} v ^{2} - t - d v \times v ^{2}}{v ^{2}}

Solution

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\frac{d t ^{2} v ^{2} - t - d v ^{3}}{v ^{2}}

Simplify the expression