Final answer to the problem
$y=\sqrt{7x^2+C_1},\:y=-\sqrt{7x^2+C_1}$
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Step-by-step Solution
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- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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1
Integrate both sides of the differential equation, the left side with respect to $y$, and the right side with respect to $x$
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$\int ydy=\int7xdx$
Learn how to solve problems step by step online. Solve the differential equation ydy=7xdx. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Solve the integral \int ydy and replace the result in the differential equation. Solve the integral \int7xdx and replace the result in the differential equation. Find the explicit solution to the differential equation. We need to isolate the variable y.
Final answer to the problem
$y=\sqrt{7x^2+C_1},\:y=-\sqrt{7x^2+C_1}$
