Final answer to the problem
$y=-\frac{1}{5}\cos\left(5x\right)+C_0$
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Step-by-step Solution
How should I solve this problem?
- Linear Differential Equation
- Exact 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
- Integrate using tabular integration
- Load more...
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1
Multiply both sides of the equation by $dx$
$dy=\sin\left(5x\right)\cdot dx$
Learn how to solve differential equations problems step by step online.
$dy=\sin\left(5x\right)\cdot dx$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=sin(5x). Multiply both sides of the equation by dx. 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 \int1dy and replace the result in the differential equation. Solve the integral \int\sin\left(5x\right)dx and replace the result in the differential equation.
Final answer to the problem
$y=-\frac{1}{5}\cos\left(5x\right)+C_0$
